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Section 2.3 Equations of a Line 169 55. The line passes through (6, 12) and (4, 10). 56. The line passes through (2, 1) and (3, 4). 57. The line passes through (5, 2) and (1, 2). 58. The line passes through (4, 1) and (2, 1). 59. The line contains the point (3, 2) and is parallel 34 . to a line with a slope of (See Example 7.) 60. The line contains the point ( 1, 4 ) and is parallel to a line with a slope of 12 . 61. The line contains the point (3, 2) and is perpendicular to a line with a slope of (See Example 8.) 34 . 62. The line contains the point ( ) and is perpendicular to a line with a slope of 12 . 2, 5 65. The line contains the point ( ) and is 8, 1 66. The line contains the point and is perpendicular to 15x 3y 9. perpendicular to 4x 3y 6. Concept 3: Equations of a Line: A Summary For Exercises 75–82, write an equation of the line satisfying the given conditions. 14, 22 67. The line contains the point (4, 0) and is parallel to the line defined by 3x 2y. 13, 02 68. The line contains the point and is parallel to the line defined by 5x 6y. 69. The line is perpendicular to the line defined by 3y 2x 21 and passes through the point (2, 4). 70. The line is perpendicular to 7y x 21 and passes through the point 114, 82. 71. The line is perpendicular to and passes through (3, 5). 12 y x 73. The line is parallel to the line and passes through the origin. 3x y 7 72. The line is perpendicular to and passes through 11, 52. 14 y x 74. The line is parallel to the line and passes through the origin. 2x y 5 75. The line passes through and has a zero slope. 12, 32 76. The line contains the point ( ) and has an undefined slope. 52 , 0 12, 32 78. The line contains the point ( ) and has a 77. The line contains the point and has an undefined slope. (See Example 9.) zero slope. 52 , 0 79. The line is parallel to the x-axis and passes through (4, 5). 80. The line is perpendicular to the x-axis and passes through (4, 5). 81. The line is parallel to the line and passes through (5, 1). x 4 82. The line is parallel to the line and passes through (3, 4). y 2 63. The line contains the point ( ) and is parallel to 3x 4y 7. 2, 5 64. The line contains the point and is parallel to 2x 3y 12. 16, 12 Expanding Your Skills 83. Is the equation in slope-intercept form? x 2 84. Is the equation in slope-intercept form? Identify the slope and y-intercept. x 1 Identify the slope and y-intercept. 85. Is the equation in slope-intercept form? y 3 86. Is the equation in slope-intercept form? Identify the slope and y-intercept. y 5 Identify the slope and y-intercept.


miller_intermediate_algebra_4e_ch1_3
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