258 Chapter 3 Graphing Linear Equations in Two Variables 53. 5y 4x 54. 2x 5y 55. 3y 2 0 56. 1 5y 6 y 4 5 x 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 x 5 4 y 1 y 2 5 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 4 y 1 543 2 1 1 2 3 4 5 2 3 4 5 x 3 2 1 5 4 y 1 543 21 1 2 3 4 5 2 3 4 5 x 3 2 1 y 2 3 y 1 Concept 3: Determining Whether Two Lines Are Parallel, Perpendicular, or Neither For Exercises 57–72, determine if the equations represent parallel lines, perpendicular lines, or neither. (See Examples 5 and 6.) 4 5 1 2 l1: y x 1 l1: y 2x 3 l1: y x 2 4 3 57. 58. 59. 60. l2: y 1 2 x 4 Perpendicular l2: y 5 4 l2: y 3 4 x 6 l1: y 9x 6 l1: y 4x 1 l1: x 3 x x 2 3 61. 62. 63. 64. l2: y 9x 1 Parallel l1: y 1 5 l2: y 5x 3 Neither Perpendicular Neither 7 4 l1: y 2 3 l2: y l2: x 6 l2: y 4x 1 2 Parallel Perpendicular Perpendicular l1: 2x 4 l1: 2y 7 l1: 2x 3y 6 l1: 4x 5y 20 65. 66. 67. 68. l2: 6 x l2: y 4 l2: 3x 2y 12 l2: 5x 4y 60 Parallel Parallel Perpendicular Perpendicular 1 5 l1: 4x 2y 6 l1: 3x y 5 x 3 l1: y x 2 69. 70. 71. 72. l1: y 1 3 l2: 4x 8y 16 l2: x 3y 18 l2: 2x 10y 20 l2: x 3y 12 Neither Neither Parallel Parallel Concept 4: Writing an Equation of a Line Using Slope-Intercept Form For Exercises 73–84, write an equation of the line given the following information. Write the answer in slopeintercept form if possible. (See Examples 7 and 8.) 10, 12. 23 73. The slope is , and the y-intercept is (0, 2). 74. The slope is , and the y-intercept is 1 2 y x 2 y x 1 3 3 75. The slope is 10, and the y-intercept is (0, 19). 76. The slope is 14, and the y-intercept is (0, 2). 77. The slope is 6, and the line passes through 78. The slope is 4, and the line passes through the point (1, 2). the point (4, 3). 79. The slope is , and the line passes through 80. The slope is , and the line passes through y 13, 12. x 1 the point (4, 5). the point y 2 3 81. The slope is 0, and the y-intercept is 82. The slope is 0, and the y-intercept is 83. The slope is 5, and the line passes through 84. The slope is 3, and the line passes through the origin. y 5x the origin. y 3x y 6 7 6 7 11. . 1 2 x 3 23 1 2 y 6x 8 y 4x 13 13 y 10x 19 y 14x 2 y 11 Writing Translating Expression Geometry Scientific Calculator Video
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