Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
Find the slope of the line: x=4 .Find the slope of the line: y=7 .Use the slope formula to find the slope of the line through the points: (8,5) and (6,3) .Use the slope formula to find the slope of the line through the points: (1,5) and (5,9) .Use the slope formula to find the slope of the line through the points: (3,4) and (2,1) .Use the slope formula to find the slope of the line through the pair of points: (2,6) and (3,4) .Graph the line passing through the point (2,2) with the slope m=43 .Graph the line passing through the point (2,3) with the slope m=14 .Graph the line with the y-intercept 4 and slope m=52 .Graph the line with the x-intercept 3 and slope m=34 .Graph the line with the point (2,1) and slope m=3 .Graph the line with the point (4,2) and slope m=2 .Use Example 4.38, substituting the rise =14 and run =24 .Use Example 4.38, substituting rise =15 and run =36 .Find the slope of a pipe that slopes down 13 inch per foot.Find the slope of a pipe that slopes down 34 inch per yard.In the following exercises, find the slope modeled on each geoboard. 211.In the following exercises, find the slope modeled on each geoboard. 212.In the following exercises, find the slope modeled on each geoboard. 213.In the following exercises, find the slope modeled on each geoboard. 214.In the following exercises, find the slope modeled on each geoboard. 215.In the following exercises, find the slope modeled on each geoboard. 216.In the following exercises, find the slope modeled on each geoboard. 217.In the following exercises, find the slope modeled on each geoboard. 218.In the following exercises, model each slope. Draw a picture to show your results. 219. 23In the following exercises, model each slope. Draw a picture to show your results. 220. 34In the following exercises, model each slope. Draw a picture to show your results. 221. 14In the following exercises, model each slope. Draw a picture to show your results. 222. 43In the following exercises, model each slope. Draw a picture to show your results. 223. 12In the following exercises, model each slope. Draw a picture to show your results. 224. 34In the following exercises, model each slope. Draw a picture to show your results. 225. 23In the following exercises, model each slope. Draw a picture to show your results. 226. 32In the following exercises, find the slope of each line shown. 227.In the following exercises, find the slope of each line shown. 228.In the following exercises, find the slope of each line shown. 229.In the following exercises, find the slope of each line shown. 230.In the following exercises, find the slope of each line shown. 231.In the following exercises, find the slope of each line shown. 232.In the following exercises, find the slope of each line shown. 233.In the following exercises, find the slope of each line shown. 234.In the following exercises, find the slope of each line shown. 235.In the following exercises, find the slope of each line shown. 236.In the following exercises, find the slope of each line shown. 237.In the following exercises, find the slope of each line shown. 238.In the following exercises, find the slope of each line shown. 239.In the following exercises, find the slope of each line shown. 240.In the following exercises, find the slope of each line shown. 241.In the following exercises, find the slope of each line shown. 242.In the following exercises, find the slope of each line. 243. y=3In the following exercises, find the slope of each line. 244. y=1In the following exercises, find the slope of each line. 245. x=4In the following exercises, find the slope of each line. 246. x=2In the following exercises, find the slope of each line. 247. y=2In the following exercises, find the slope of each line. 248. y=3In the following exercises, find the slope of each line. 249. x=5In the following exercises, find the slope of each line. 250. x=4In the following exercises, use the slope formula to find the slope of the line between each pair of points. 251. (1,4),(3,9)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 252. (2,3),(5,7)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 253. (0,3),(4,6)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 254. (0,1),(5,4)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 255.(2,5),(4,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 256. (3,6),(8,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 257. (3,3),(4,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 258. (2,4),(3,1)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 259. (1,2),(2,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 260. (2,1),(6,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 261.(4,5),(1,2)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 262. (3,6),(2,2)In the following exercises, graph each line with the given point and slope. 263. (1,2);m=34In the following exercises, graph each line with the given point and slope. 264. (1,1);m=23In the following exercises, graph each line with the given point and slope. 265. (2,5);m=13In the following exercises, graph each line with the given point and slope. 266.(1,4);m=12In the following exercises, graph each line with the given point and slope. 267. (3,4);m=32In the following exercises, graph each line with the given point and slope. 268. (2,5);m=54In the following exercises, graph each line with the given point and slope. 269. (1,4);m=43In the following exercises, graph each line with the given point and slope. 270. (3,5);m=32In the following exercises, graph each line with the given point and slope. 271. y-intercept 3; m=25In the following exercises, graph each line with the given point and slope. 272. y-intercept 5; m=43In the following exercises, graph each line with the given point and slope. 273. x-intercept 2;m=34In the following exercises, graph each line with the given point and slope. 274. x-intercept 1;m=15In the following exercises, graph each line with the given point and slope. 275.(3,3);m=2In the following exercises, graph each line with the given point and slope. 276. (4,2);m=4In the following exercises, graph each line with the given point and slope. 277. (1,5);m=3In the following exercises, graph each line with the given point and slope. 278.(2,3);m=1Slope of a roof. An easy way to determine the slope of a roof is to set one end of a 12 inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof. Builders, sometimes, refer to this as pitch and state it as an “x pitch” meaning w x12 , where x isthe measurement from the roof to the level—the rise.It is also sometimes stated as an “x -in-12 pitch”. (a) What is the slope of the roof in this picture? (b) What is the pitch in construction terms?The slope of the roof shown here is measured with a 12” level and a ruler. What is the slope of this roof?Road grade. A local road has a grade of 6%. The grade of a road is its slope expressed as a percent. Find the slope of the road as a fraction and then simplify. What rise and run would reflect this slope or grade?Highway grade. A local road rises 2 feet for every 50 feet of highway. (a) What is the slope of the highway? (b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?Wheelchair ramp. The rules for wheelchair ramps require a maximum 1-inch rise for a 12-inch run. (a) How long must the ramp be to accommodate a 24-inch rise to the door? (b) Create a model of this ramp.Wheelchair ramp. A 1-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend a ramp. (a) How long must a ramp be to easily accommodate a 24-inch rise to the door? (b) Create a model of this ramp.What does the sign of the slope tell you about a line?How does the graph of a line with slope m=12 differ from the graph of a line with slope m=2 ?Why is the slope of a vertical line “undefined”?Use the graph to find the slope and y-intercept of the line y=23x1 . Compare these values to the equation y=mx+b .Use the graph to find the slope and y-intercept of the line y=12x+3 . Compare these values to the equation y=mx+b .Identify the slope and y-intercept of the line y=25x1 .Identify the slope and y-intercept of the line y=43x+1 .Identify the slope and y-intercept of the line x+4y=8 .Identify the slope and y-intercept of the line 3x+2y=12 .Graph the line of the equation y=4x+1 using its slope and y-intercept.Graph the line of the equation y=2x3 using its slope and y-intercept.Graph the line of the equation y=x3 using its slope and y-intercept.Graph the line of the equation y=x1 using its slope and y-intercept.Graph the line of the equation y=52x+1 using its slope and y-intercept.Graph the line of the equation y=34x2 using its slope and y-intercept.Graph the line of the equation 2xy=6 using its slope and y-intercept.Graph the line of the equation 3x2y=8 using its slope and y-intercept.Graph the line of the equation y=0.5x+25 using its slope and y-intercept.Graph the line of the equation y=0.1x30 using its slope and y-intercept.Determine the most convenient method to graph each line: (a) 3x+2y=12 (b) y=4 (c)y=15x4 (d) x=7 .Determine the most convenient method to graph each line: (a) x=6 (b) y=34x+1 (c) y=8 (d)4x3y=1 .The equation h=2s+50 is used to estimate a woman’s height in inches, h, based on her shoe size, s. (a) Estimate the height of a child who wears women’s shoe size 0. (b) Estimate the height of a woman with shoe size 8. (c) Interpret the slope and h-intercept of the equation. (d) Graph the equation.The equation T=14n+40 is used to estimate the temperature in degrees Fahrenheit, T, based on the numberof cricket chirps, n, in one minute. (a) Estimate the temperature when there are no chirps. (b) Estimate the temperature when the number of chirps in one minute is 100. (c) Interpret the slope and T-intercept of the equation. (d) Graph the equation.Sam drives a delivery van. The equation C=0.5m+60 models the relation between his weekly cost, C, in dollars and the number of miles, m, that he drives. (a) Find Sam’s cost for a week when he drives 0 miles. (b) Find the cost for a week when he drives 250 miles. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Loreen has a calligraphy business. The equation C=1.8n+35 models the relation between her weekly cost, C, in dollars and the number of wedding invitations, n, that she writes. (a) Find Loreen’s cost for a week when she writes no invitations. (b) Find the cost for a week when she writes 75 invitations. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Use slopes and y-intercepts to determine if the lines 2x+5y=5 and y=25x4 are parallel.Use slopes and y-intercepts to determine if the lines 4x3y=6 and y=43x1 are parallel.Use slopes and y-intercepts to determine if the lines y=8 and y=6 are parallel.Use slopes and y-intercepts to determine if the lines y=1 and y=5 are parallel.Use slopes and y-intercepts to determine if the lines x=1 and x=5 are parallel.Use slopes and y-intercepts to determine if the lines x=8 and x=6 are parallel.Use slopes and y-intercepts to determine if the lines y=12x1 and x+2y=2 are parallel.Use slopes and y-intercepts to determine if the lines y=34x3 and 3x4y=12 are parallel.Use slopes to determine if the lines y=3x+2 and x3y=4 are perpendicular.Use slopes to determine if the lines y=2x5 and x+2y=6 are perpendicular.Use slopes to determine if the lines 5x+4y=1 and 4x+5y=3 are perpendicular.Use slopes to determine if the lines 2x9y=3 and 9x2y=1 are perpendicular.In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equationy=mx+b. 288. y=3x5In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 289. y=4x2In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 290. y=x+4In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 291. y=3x+1In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 292. y=4x+1In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 293. y=25x+3In the following exercises, identify the slope and y-intercept of each line. 294. y=7x+3In the following exercises, identify the slope and y-intercept of each line. 295. y=9x+7In the following exercises, identify the slope and y-intercept of each line. 296. y=6x8In the following exercises, identify the slope and y-intercept of each line. 297. y=4x10In the following exercises, identify the slope and y-intercept of each line. 298. 3x+y=5In the following exercises, identify the slope and y-intercept of each line. 299. 4x+y=8In the following exercises, identify the slope and y-intercept of each line. 300. 6x+4y=12In the following exercises, identify the slope and y-intercept of each line. 301. 8x+3y=12In the following exercises, identify the slope and y-intercept of each line. 302. 5x2y=6In the following exercises, identify the slope and y-intercept of each line. 303. 7x3y=9In the following exercises, graph the line of each equation using its slope and y-intercept. 304. y=x+3In the following exercises, graph the line of each equation using its slope and y-intercept. 305. y=x+4In the following exercises, graph the line of each equation using its slope and y-intercept. 306. y=3x1In the following exercises, graph the line of each equation using its slope and y-intercept. 307. y=2x3In the following exercises, graph the line of each equation using its slope and y-intercept. 308. y=x+2In the following exercises, graph the line of each equation using its slope and y-intercept. 309. y=x+3In the following exercises, graph the line of each equation using its slope and y-intercept. 310. y=x4In the following exercises, graph the line of each equation using its slope and y-intercept. 311. y=x2In the following exercises, graph the line of each equation using its slope and y-intercept. 312. y=341In the following exercises, graph the line of each equation using its slope and y-intercept. 313. y=253In the following exercises, graph the line of each equation using its slope and y-intercept. 314. y=35+2In the following exercises, graph the line of each equation using its slope and y-intercept. 315. y=23+1In the following exercises, graph the line of each equation using its slope and y-intercept. 316. 3x4y=8In the following exercises, graph the line of each equation using its slope and y-intercept. 317. 4x3y=6In the following exercises, graph the line of each equation using its slope and y-intercept. 318. y=0.1x+15In the following exercises, graph the line of each equation using its slope and y-intercept. 319. y=0.3x+25In the following exercises, determine the most convenient method to graph each line. 320. x=2In the following exercises, determine the most convenient method to graph each line. 321.y=4In the following exercises, determine the most convenient method to graph each line. 322. y=5In the following exercises, determine the most convenient method to graph each line. 323. x=3In the following exercises, determine the most convenient method to graph each line. 324.y=3x+4In the following exercises, determine the most convenient method to graph each line. 325. y=5x+2In the following exercises, determine the most convenient method to graph each line. 326. xy=5In the following exercises, determine the most convenient method to graph each line. 327. xy=1In the following exercises, determine the most convenient method to graph each line. 328. y=23x1In the following exercises, determine the most convenient method to graph each line. 329. y=45x3In the following exercises, determine the most convenient method to graph each line. 330. y=3In the following exercises, determine the most convenient method to graph each line. 331. y=1In the following exercises, determine the most convenient method to graph each line. 332. 3x2y=12In the following exercises, determine the most convenient method to graph each line. 333. 2x5y=10In the following exercises, determine the most convenient method to graph each line. 334. y=14+3In the following exercises, determine the most convenient method to graph each line. 335. y=13x+5The equation P=31+1.75w models the relation between the amount of Tuyet’s monthly water bill payment, P, in dollars, and the number of units of water, w, used. (a) Find Tuyet’s payment for a month when 0 units of water are used. (b) Find Tuyet’s payment for a month when 12 units of water are used. (c) Interpret the slope and P-intercept of the equation. (d) Graph the equation.The equation P=28+2.54w models the relation between the amount of Randy’s monthly water bill payment, P, in dollars, and the number of units of water, w, used. (a) Find the payment for a month when Randy used 0 units of water. (b) Find the payment for a month when Randyused 15 units of water. (c) Interpret the slope and P-intercept of the equation. (d) Graph the equation.Bruce drives his car for his job. The equation R=0.575m+42 models the relation between the amount in dollars, R, that he is reimbursed and the number of miles, m, he drives in one day. (a) Find the amount Bruce is reimbursed on a day when he drives 0 miles. (b) Find the amount Bruce is reimbursed on a day when he drives 220 miles. (c) Interpret the slope and R-intercept of the equation. (d) Graph the equation.Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. (a) Find the cost if Janelle drives the car 0 miles one day. (b) Find the cost on a day when Janelle drives the car 400 miles. (c) Interpret the slope and Cintercept of the equation. (d) Graph the equation.Cherie works in retail and her weekly salary includes commission for the amount she sells. The equation S=400+0.15c models the relation between her weekly salary, S, in dollars and the amount of her sales, c, in dollars. (a) Find Cherie’s salary for a week when her sales were 0. (b) Find Cherie’s salary for a week when her sales were 3600. (c) Interpret the slope and Sintercept of the equation. (d) Graph the equation.Patel’s weekly salary includes a base pay plus commission on his sales. The equation S=750+0.09c models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars. (a) Find Patel’s salary for a week when his sales were 0. (b) Find Patel’s salary for a week when his sales were 18,540. (c) Interpret the slope and S-intercept of the equation. (d) Graph the equation.Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and the number of guests, g. (a) Find the cost if the number of guests is 40. (b) Find the cost if the number of guests is 80. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Margie is planning a dinner banquet. The equation C=750+42g models the relation between the cost in dollars, C of the banquet and the number of guests, g. (a) Find the cost if the number of guests is 50. (b) Find the cost if the number of guests is 100. (c) Interpret the slope and Cintercept of the equation. (d) Graph the equation.In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 344. y=34x3;3x4y=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 345. y=23x1;2x3y=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 346. 2x5y=3;y=25x+1In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 347. 3x4y=2;y=34x3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 348. 2x4y=6;x2y=3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 349. 6x3y=9;2xy=3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 350. 4x+2y=6;6x+3y=3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 351. 8x+6y=6;12x+9y=12In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 352. x=5;x=6In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 353. x=7;x=8In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 354. x=4;x=1In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 355. x=3;x=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 356. y=2;y=6In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 357. y=5;y=1In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 358. y=4;y=3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 359. y=1;y=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 360. xy=2;2x2y=4In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 361. 4x+4y=8;x+y=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 362. x3y=6;2x6y=12In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 363. 5x2y=11;5xy=7In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 364. 3x6y=12;6x3y=3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 365. 4x8y=16;x2y=4In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 366. 9x3y=6;3xy=2In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 367. x5y=10;5xy=10In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 368. 7x4y=8;4x+7y=14In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 369. 9x5y=4;5x+9y=1In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 370. 3x2y=8;2x+3y=6In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 371. x4y=8;4x+y=2In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 372. 2x+5y=3;5x2y=6In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 373. 2x+3y=5;3x2y=7In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 374. 3x2y=1;2x3y=2In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 375. 3x4y=8;4x3y=6In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 376. 5x+2y=6;2x+5y=8In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 377. 2x+4y=3;6x+3y=2In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 378. 4x2y=5;3x+6y=8In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 379. 2x6y=4;12x+4y=9In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 380. 6x4y=5;8x+12y=3In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 381. 8x2y=7;3x+12y=9The equation C=59F17.8 can be used to convert temperatures F, on the Fahrenheit scale to temperatures, C, on the Celsius scale. (a) Explain what the slope of the equation means. (b) Explain what the Cintercept of the equation means.The equation n=4T160 is used to estimate the number of cricket chirps, n, in one minute based on the temperature in degrees Fahrenheit, T. (a) Explain what the slope of the equation means. (b) Explain what the nintercept of the equation means. Is this a realistic situation?Explain in your own words how to decide which method to use to graph a line.Why are all horizontal lines parallel?Find an equation of a line with slope 25 and y-intercept (0,4) .Find an equation of a line with slope 1 and y-intercept (0,3) .Find the equation of the line shown in the graph.Find the equation of the line shown in the graph.Find an equation of a line with slope m=56 and containing the point (6,3) .Find an equation of a line with slope m=23 and containing the point (9,2) .Find an equation of a line with slope m=25 and containing the point (10,5) .Find an equation of a line with slope m=34 , and containing the point (4,7) .Find an equation of a horizontal line containing the point (3,8) .Find an equation of a horizontal line containing the point (1,4) .Find an equation of a line containing the points (3,1) and (5,6) .Find an equation of a line containing the points (1,4) and (6,2) .Find an equation of a line containing the points (2,4) and (1,3) .Find an equation of a line containing the points (4,3) and (1,5) .Find an equation of a line containing the points (5,1) and (5,4) .Find an equation of a line containing the points (4,4) and (4,3) .Find an equation of a line parallel to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.Find an equation of a line parallel to the line y=12x3 that contains the point (6,4) .Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.Find an equation of a line perpendicular to the line y=12x3 that contains the point (6,4) .Find an equation of a line that is perpendicular to the line x=4 that contains the point (4,5) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line x=2 that contains the point (2,1) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line y=1 that contains the point (5,1) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line y=5 that contains the point (4,5) .In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 386. slope 3 and y-intercept (0,5)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 387. slope 4 and y -intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 388. slope 6 and y -intercept (0,4)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 389. slope 8 and y -intercept (0,6)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 390. slope 1 and y -intercept (0,3)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 391. slope 1 and y -intercept (0,7)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 392. slope 2 and y -intercept (0,3)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 393. slope 3 and y -intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 394. slope 35 and y -intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 395. slope 15 and y -intercept (0,5)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 396. slope 34 and y -intercept (0,2)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 397. slope 23 and y -intercept (0,3)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 398. slope 0 and y -intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 399. slope 0 and y -intercept (0,2)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 400. slope 3 and y -intercept (0,0)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 401. slope 4 and y -intercept (0,0)In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 402.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 403.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 404.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 405.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 406.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 407.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 408.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 409.In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 410. m=58 , point (8,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 411. m=38 , point (8,2)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 412. m=16 , point (6,1)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 413. m=56 , point (6,7)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 414. m=34 , point (8,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 415. m=35 , point (10,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 416. m=14 , point (12,6)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 417. m=13 , point (9,8)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 418. Horizontal line containing (2,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 419. Horizontal line containing (1,4)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 420. Horizontal line containing (2,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 421. Horizontal line containing (1,7)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 422. m=32 , point (4,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 423. m=52 , point (8,2)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 424. m=7 point (1,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 425. m=4 , point (2,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 426. Horizontal line containing (2,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 427. Horizontal line containing (4,8)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 428. (2,6) and (5,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 429. (3,1) and (2,5)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 430. (4,3) and (8,1)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 431. (2,7) and (3,8)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 432. (3,4) and (5,2)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 433. (5,3) and (4,6)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 434. (1,3) and (6,7)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 435. (2,8) and (4,6)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 436. (6,4) and (2,5)