Problem 1CYU: Plot the point (500,200). Problem 2CYU: 2. Is the point on the graph of the linear equation? Is the point.
Problem 1E: In Exercises 1–8, plot the given point.
1.
Problem 2E: In Exercises 18, plot the given point. (1,4) Problem 3E: In Exercises 1–8, plot the given point.
3.
Problem 4E: In Exercises 18, plot the given point. (2,0) Problem 5E: In Exercises 18, plot the given point. (2,1) Problem 6E: In Exercises 18, plot the given point. (1,52) Problem 7E: In Exercises 1–8, plot the given point.
7.
Problem 8E: In Exercises 1–8, plot the given point.
8.
Problem 9E: What are the coordinates of the point Q in Fig. 7? Problem 10E: What are the coordinates of the point P in Fig. 7? Problem 11E: In Exercises 11–14, determine whether the point is on the graph of the equation.
11.
Problem 12E: In Exercises 1114, determine whether the point is on the graph of the equation 2x+13y=1. (2,6) Problem 13E: In Exercises 11–14, determine whether the point is on the graph of the equation.
13.
Problem 14E: In Exercises 1114, determine whether the point is on the graph of the equation 2x+13y=1. (13,1) Problem 15E: In Exercises 15–18, each linear equation is in the form. Identify m and b.
15.
Problem 16E: In Exercises 1518, each linear equation is in the form y=mx+b. Identify m and b. y=2x6 Problem 17E: In Exercises 1518, each linear equation is in the form y=mx+b. Identify m and b. y=3 Problem 18E: In Exercises 1518, each linear equation is in the form y=mx+b. Identify m and b. y=23x Problem 19E: In Exercises 19–22, write each linear equation in the formor .
19.
Problem 20E: In Exercises 1922, write each linear equation in the form y=mx+b or x=a. xy=3 Problem 21E: In Exercises 1922, write each linear equation in the form y=mx+b or x=a. 3x=5 Problem 22E: In Exercises 19–22, write each linear equation in the formor .
22.
Problem 23E: In Exercises 2326, find the x-intercept and the y-intercept of each line. y=4x+8 Problem 24E: In Exercises 2326, find the x-intercept and the y-intercept of each line. y=5 Problem 25E: In Exercises 2326, find the x-intercept and the y-intercept of each line. x=7 Problem 26E: In Exercises 2326, find the x-intercept and the y-intercept of each line. y=8x Problem 27E: In Exercises 2734, graph the given linear equation. y=13x1 Problem 28E: In Exercises 2734, graph the given linear equation. y=2x Problem 29E: In Exercises 27–34, graph the given linear equation.
29.
Problem 30E: In Exercises 2734, graph the given linear equation. x=0 Problem 31E: In Exercises 27–34, graph the given linear equation.
31.
Problem 32E: In Exercises 2734, graph the given linear equation. x+y=3 Problem 33E: In Exercises 27–34, graph the given linear equation.
33.
Problem 34E: In Exercises 2734, graph the given linear equation. 12x13y=1 Problem 35E: Which of the following equations describe the same line as the equation 2x+3y=6 ? a. 4x+6y=12 b.... Problem 36E: Which of the following equations describe the same line as the equation 12x5y=1 ? a. 2x15y=1 b.... Problem 37E: 37. Each of the lines in Fig. 8 is the graph of one of the equations (a), (b), and (c). Match each... Problem 38E: 38. Which of the following equations is graphed in Fig. 9?
Figure 9
a.
b.
c.
Problem 39E: 39. Heating Water The temperature of water in a heating tea kettle rises according to the equation,... Problem 40E: Life Expectancy The average life expectancy y of a person born x years after 1960 can be... Problem 41E: 41. Cigarette Consumption The worldwide consumption of cigarettes has been increasing steadily in... Problem 42E: 42. Ecotourism Income In a certain developing country, ecotourism income has been increasing in... Problem 43E: Insurance Rates Yearly car insurance rates have been increasing steadily in the last few years. The... Problem 44E: Simple Interest If $1000 is deposited at 3% simple interest, the balance y after x years will be... Problem 45E: 45. College Freshmen The percentage, y, of college freshmen who entered college intending to major... Problem 46E: College Freshmen The percentage, y, of college freshmen who smoke cigarettes decreased steadily from... Problem 47E: College Tuition Average tuition (including room and board) for all institutions of higher learning... Problem 48E: 48. Bachelor’s Degrees The number of bachelor’s degrees conferred in mathematics and statistics in... Problem 49E: 49. Find an equation of the line having x-intercept and y-intercept.
Problem 50E: Find an equation of the line having x-intercept (.6,0) and y-intercept (0,.9). Problem 51E: Find an equation of the line having y-intercept (0,5) and y-intercept (4,0). Problem 52E: Find an equation of the line having x-intercept (5,0) and parallel to the y-axis. Problem 53E: 53. What is the equation of the x-axis?
Problem 54E: 54. Can a line other than the x-axis have more than one x-intercept?
Problem 55E: 55. What is the general form of the equation of a line that is parallel to the y-axis?
Problem 56E: What is the general form of the equation of a line that is parallel to the x-axis? Problem 57E: In Exercises 5760, find a general form of the given equation. y=2x+3 Problem 58E: In Exercises 5760, find a general form of the given equation. y=3x4 Problem 59E: In Exercises 5760, find a general form of the given equation. y=23x5 Problem 60E: In Exercises 57–60, find a general form of the given equation.
60.
Problem 61E: Show that the straight line with x-intercept (a,0) and y-intercept (0,b), where a and b are not... Problem 62E: Use the result of Exercise 61 to find a general form of the equation of the line having x-intercept... Problem 63E: In Exercises 6370, give the equation of a line having the stated property. Note: There are many... Problem 64E: In Exercises 6370, give the equation of a line having the stated property. Note: There are many... Problem 65E: In Exercises 63–70, give the equation of a line having the stated property. Note: There are many... Problem 66E: In Exercises 63–70, give the equation of a line having the stated property. Note: There are many... Problem 67E: In Exercises 63–70, give the equation of a line having the stated property. Note: There are many... Problem 68E: In Exercises 6370, give the equation of a line having the stated property. Note: There are many... Problem 69E: In Exercises 63–70, give the equation of a line having the stated property. Note: There are many... Problem 70E: In Exercises 6370, give the equation of a line having the stated property. Note: There are many... Problem 71E: 71. The lines with equations and have the same x-intercept. What is the value of c?
Problem 72E: The lines with equations 6x3y=9 and y=4x+b have the same y-intercept. What is the value of b? Problem 73E: In Exercises 7376, (a) graph the line, (b) use the utility to determine the two intercepts, (c) use... Problem 74E: In Exercises 73–76, (a) graph the line, (b) use the utility to determine the two intercepts, (c) use... Problem 75E: In Exercises 7376, (a) graph the line, (b) use the utility to determine the two intercepts, (c) use... Problem 76E: In Exercises 73–76, (a) graph the line, (b) use the utility to determine the two intercepts, (c) use... Problem 77E: In Exercises 77 and 78, determine an appropriate window, and graph the line.
77.
Problem 78E: In Exercises 77 and 78, determine an appropriate window, and graph the line.
78.
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