36. Slope point31. Slope –2; point-3)38. Slope –1; point (4,In Problems 39–46, find an equation of the line L.39.40.41.42.(-2, 1) 2-|70,0) ,2 x2(2, 1).3(-1, 3)(-1, 1).,(0, 0)(1, 1)2 X-2-27.43.44.45.46.3(3, 3)(1, 2)(1, 2)(-1,-3

39). Given figure is: To find the equation of line L. Solution: We can find that given line passes…

Answered: 36. Slope point 31. Slope –2; point -3)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 41E

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In Problems 29–34, write the equation and graph the line that passes through the given point and has the slope indicated. 29. (2, 0) with slope -5 31. (1,4) with slope - 33. (-1, 1) with undefined slope 34. (1, 1) with 0 slope 30. (1, 1) with slope 32. (3, – 1) with slope 1 In Problems 35-38, write the equation of each line passing through the given pair of points. 35. (3, 2) and (-1, -6) 37. (7, 3) and (-6, 2) 36. (-4, 2) and (2, 4) 38. (10, 2) and (8, 7)
9. 10. (-8,6) (-4, 2) (0, 2) (3, 2) {2F} Which point is the y-intercept? (a) (0, 2) (b) (10,0) (4,0) (10.) (7,-6) {2F} Which option is the correct interval for where the graph is positive? (a) [-8, -4] (b) [-8, 4] (c) (-8, 7] (d) [-4,00) (c) (4,0) (d) (7,-6)
(2) 3. Determine the equation of the line through the points (2,3) and (5,1).
7. Consider points A = (1, –2), B = (-1,4), C = (-3, – 1). (a) Write down the slope-intercept form of the equation of the line which is perpendic- ular to AB and passes point C. (b) Find the x- and y-intercepts of line in part (a). (c) Sketch the line you found in part (a).
2. Find the equation of the line parallel to the line y = 4x+3 and passes through the point (0,2)
8. Find the equation of the line passing through the point (-4, 8) and perpendicular to the line 3y = 7 – 2x
6. Find the point-slope form of the line passing through the points (-3,4) and (3,–7).
6. What are the coordinates of the midpoint of the line segment with endpoint (-5, –2) and (3, --2)? (A) (–1, -2) (C) (1, –1) (E) (4, –2) (B) (--1, -1) (D) (1, 2)
In Problems 55–62, find the midpoint of the line segment joining the points P, and P2. 55. P. — (3, —4); Р. 3 (5,4) 57. P, 3 (-5, -3): Р, — (11,9) 59. P, 3 (4, -3): Р, — (6, 1) 56. P %3D (-2,0): Р. 3 (2,4) 58. P, — (2, —3): Р, - (10, 3) 60. Р, — (-4, -3); Р, — (2,2) 61. Р. — (а, b); Р. — (0,0) 62. Р. — (а, а); Р, — (0,0)
In Problems 61–64, draw a quick sketch of each equation. 61. у - 62. x = y? 63. y = Vĩ 64. у 65. If (3, b) is a point on the graph of y = 4x + 1, what is b? 66. If (-2, b) is a point on the graph of 2x + 3y = 2, what is b? 67. If (a, 4) is a point on the graph of y = x² + 3x, what is a? 68. If (a, -5) is a point on the graph of y = x² + 6x, what is a?
18. A line passes through the point (-3, -2) and has slope 2. What is an equation of the line? F y=2x – 0.5 - G y=2x + 0.5 Hy= 2x + 1 O y=2x+ 4
The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the second line is( 0,11) what is the point at which the lines intersect. A.(15,6) B.(-3.6,-(0,2) C.(3,2) D. (-3.75,-0.25)

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36. Slope point 31. Slope –2; point -3) 38. Slope –1; point (4, In Problems 39–46, find an equation of the line L. 39. 40. 41. 42. (-2, 1) 2- |70,0) , 2 x 2 (2, 1). 3 (-1, 3) (-1, 1). ,(0, 0) (1, 1) 2 X -2 -2 7. 43. 44. 45. 46. 3 (3, 3) (1, 2) (1, 2) (-1, -3