Section 3.3 The Slope of a Line 237 23. 24. 25. 26. 27. 28. 2 6 4 4 –2 –4 –2 –4 x y 6 2 –4 –2 2 x 4 4 –2 y 2 2 4 –2 –4 –2 –4 –6 x y 2 2 4 6 –2 –2 –4 x y Write each equation in slope-intercept form, if necessary. State the slope and y-intercept of the line from its equation. Write the y-intercept as an ordered pair. Explain how the x- and y-values change with respect to one another. (See Objective 2.) 29. y = 4x - 3 30. y = 3x + 5 31. y = -2x - 1 32. y = -x - 4 33. y = 1 2 x + 3 2 34. y=- 7 3 x + 1 3 35. y = 5x 36. y = -3x 37. 4x + y = 8 38. 8x + y = -24 39. 7x + 4y = 0 40. 9x + 2y = 0 41. x = -2 42. y = 7 43. y = -3 44. x = 1 45. 6y - 8 = 0 46. 3x + 5 = 0 47. 2x - 1 = 0 48. 7y + 3 = 0 Graph each line using its slope and y-intercept. Label two points on the graph. (See Objective 3.) 49. y = x - 2 50. y = x + 3 51. y = -x + 4 52. y = 2 3 x - 2 53. y=- 3 5 x + 4 54. y=- 1 3 x + 3 55. 2x - 4y = -8 56. 4x + 5y = 20 57. x - 2y = 0 58. 2x + y = 0 Use the given slope of a line and the point on the line to fi nd one additional point on the line. Graph the line using the two points. (See Objective 3.) 59. m = -4 and (3, 4) 60. m = -2 and (-4, -1) 61. m = 3 2 and (0, 2) 62. m = 4 5 and (0, -3) 63. m = - 6 7 and (0, 7) 64. m = - 3 8 and (0, -8) 65. m = 0 and (2, -3) 66. m = 0 and (-2, 5) 67. m is undefined and (-1, 4) 68. m is undefined and (-5, -2) Mix ’Em Up! Find the slope of each line given its equation, two points on the line, its graph, or a table of solutions. 69. y = 1 2 x + 6 70. y=- 1 3 x - 1 4 71. (0, -3) and (3, 5) 72. (-1, 5) and (1, -5) 73. y = 14 74. x = -10 75. (11, -4) and (2, 2) 76. (-5, 1) and (1, -14) 77. a1 3 , 3b and a2, 1 2 b 78. a3 2 , - 1 4 b and a1 2 , - 3 4 b 79. 3x - 5y = 4 80. 8x + 3y = 7 81. 3x + 1 = 0 82. 4y + 3 = 0 83. 0.2x + 0.5y = 3.2 84. 0.45x - 0.3y = 4.8 85. (-3.5, 12.6) and (1.5, 5.6) 86. (-7.5, -0.6) and (2.5, -11.6)
hendricks_beginning_algebra_1e_ch1_3
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