27. m = 8; (-3, -9) 28. m = -12; (-4, 50) 29. m = 6; (0, 0) 30. m = -1; (0, 0) 31. m = -8; (0, 0) 32. m = 4; (0, 0) 33. m = 0; (2, -5) 34. m = 0; (2, 8) 35. m = 2 3 ; (6, -8) 36. m = 1 9 ; (-9, 2) 37. m = - 3 5 ; (2, -1) 38. m = - 1 4 ; (6, -1) 39. m = undefined; (9, 3) 40. m = undefined; (-5, 4) Write the equation of the line that passes through the two points. Express each answer in slope-intercept form when possible. (See Objective 3.) 41. (-4, 1) and (2, 7) 42. (-2, -5) and (2, -1) 43. (-4, -8) and (2, 4) 44. (-5, 15) and (1, -3) 45. (-1, -6) and (5, 6) 46. (-3, -14) and (2, 11) 47. (4, -4) and (12, 0) 48. (8, -3) and (-8, -15) 49. (-9, 8) and (-3, 6) 50. (-11, 8) and (11, -4) 51. (-2, 5) and (4, 5) 52. (1, -7) and (-4, -7) 53. (2, -1) and (2, 6) 54. (-3, 5) and (-3, 2) Write the equation of the line that passes through the given point and is either parallel or perpendicular to the given line. Express each answer in slope-intercept form when possible. (See Objective 4.) 55. (0, -4), parallel to y = -3x + 6 56. (0, 3), parallel to y = 7x - 3 57. (-7, 8), parallel to 2x + y = 4 58. (5, -2), parallel to 3x - y = 9 59. (3, -5), parallel to 4x + 3y = -12 60. (-6, -1), parallel to 5x - 6y = -30 61. (-1, 4), parallel to y = 3 62. (7, -3), parallel to y = -4 63. (-1, 4), parallel to x = 3 64. (2, -7), parallel to x = -9 65. (0, -4), perpendicular to y = -3x + 6 66. (0, 3), perpendicular to y = 7x - 3 67. (-6, 8), perpendicular to 2x + y = 4 68. (3, -5), perpendicular to 3x - y = 9 69. (-8, 1), perpendicular to 4x + 3y = -12 70. (-5, 9), perpendicular to 5x - 6y = -30 71. (-1, 4), perpendicular to y = 3 72. (11, -2), perpendicular to y = -7 73. (-4, 8), perpendicular to x = 1 2 74. (1, -6), perpendicular to x = -4 Mix ’Em Up! Write the equation of the line described. Express each answer in slope-intercept form and in standard form. 75. m = - 1 2 , (-2, 4) 76. m = - 2 3 , (3, -3) 77. (3.5, -4.7) and (-6.3, -3.3) 78. (5.3, 0) and (6.2, -1.8) 79. m = undefined, (-10, 12) 80. m = 0, (-15, 20) 81. (4, -5), parallel to y = -6x + 3 82. (-1, 3), perpendicular to y=- 1 10 x + 15 83. (5, 4) and (5, -6) 84. (-1, -3) and (2, -3) 85. m = 5, y-intercept: (0, -5) 86. m = -6, x-intercept: (12, 0) 87. m = 2.5, (-4, 7) 88. m = -1.6, (5, -3) 89. x-intercept (-4, 0) and y-intercept (0, 5) 90. x-intercept (3, 0) and y-intercept (0, 2) 91. (0, 5), parallel to 3x - 5y = 4 92. a0, 3 5 b , perpendicular to 6x - 3y = 12 93. (-2, 4), perpendicular to x = -5 94. (-4, 0), parallel to x = 10 Write a linear equation to model each situation and use the model to answer each question. 95. Pedro has a new job as a computer programmer. His starting salary is $45,000. He will receive a raise of $2000 each year he works with the company. a. Write a linear equation that represents Pedro’s salary, where x is the years he has worked with the company. b. What is Pedro’s salary after 5 yr of working for the company? c. How long does he have to work for the company to earn a salary of $71,000? 96. Sue has a new job as a pharmaceutical sales representative. Her starting salary is $50,000. She earns a bonus based on her sales. Her bonus is 25% of her total sales for the year. a. Write a linear equation that represents Sue’s yearly income, where x is the total sales for the year. b. If Sue’s sales total $30,000 for the year, what is her income? c. How much does Sue need to sell to have an income of $65,000? 262 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_intermediate_algebra_1e_ch1_3
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