2.4 Linear Functions 229 Find the slope of the line satisfying the given conditions. See Example 5. 41. through (2, –1) and (-3, –3) 42. through (-3,4) and (2, -8) 43. through (5, 8) and (3, 12) 44. through (5, -3) and (1, -7) 45. through (5, 9) and (-2, 9) 46. through (-2, 4) and (6, 4) * 47. horizontal, through (5, 1) 48. horizontal, through (3, 5) * 49. vertical, through (4, –7) 50. vertical, through (-8, 5) For each line, (a) find the slope and (b) sketch the graph. See Examples 6 and 7. 51. y = 3x + 5 52. y = 2x – 4 53. 2y = -3x 54. -4y = 5x 55. 5x - 2y = 10 56. 4x + 3y = 12 Graph the line passing through the given point and having the indicated slope. Plot two points on the line. See Example 7. 3 57. through (-1, 3), m = } abom 58. through (-2, 8), m = { 2 3 59. through (3,-4), m = -3 60. through (-2, –3), m = - %3D 61. through (-, 4), m = 0 62. through (, 2), m = 0 %3D gicobe 63. through (-, 3), undefined slope 64. through (, 2), undefined slope Concept Check Find and interpret the average rate of change illustrated in each gra 65. 66. 20 400 16 300 12 200 8. 100 4. 0 1 2 3 4 0 1 2 3 4 Year Month Value of Machine (in thousands of dollars) Amount Saved (in dollars)

2.4 Linear Functions 229 Find the slope of the line satisfying the given conditions. See Example 5. 41. through (2, –1) and (-3, –3) 42. through (-3,4) and (2, -8) 43. through (5, 8) and (3, 12) 44. through (5, -3) and (1, -7) 45. through (5, 9) and (-2, 9) 46. through (-2, 4) and (6, 4) * 47. horizontal, through (5, 1) 48. horizontal, through (3, 5) * 49. vertical, through (4, –7) 50. vertical, through (-8, 5) For each line, (a) find the slope and (b) sketch the graph. See Examples 6 and 7. 51. y = 3x + 5 52. y = 2x – 4 53. 2y = -3x 54. -4y = 5x 55. 5x - 2y = 10 56. 4x + 3y = 12 Graph the line passing through the given point and having the indicated slope. Plot two points on the line. See Example 7. 3 57. through (-1, 3), m = } abom 58. through (-2, 8), m = { 2 3 59. through (3,-4), m = -3 60. through (-2, –3), m = - %3D 61. through (-, 4), m = 0 62. through (, 2), m = 0 %3D gicobe 63. through (-, 3), undefined slope 64. through (, 2), undefined slope Concept Check Find and interpret the average rate of change illustrated in each gra 65. 66. 20 400 16 300 12 200 8. 100 4. 0 1 2 3 4 0 1 2 3 4 Year Month Value of Machine (in thousands of dollars) Amount Saved (in dollars)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 51E

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