Section 3.2 Linear Equations in Two Variables 217 Concept 4: Horizontal and Vertical Lines For Exercises 62–65, answer true or false. If the statement is false, rewrite it to be true. 62. The line defined by x 3 is horizontal. 63. The line defined by y 4 is horizontal. 64. A line parallel to the y-axis is vertical. 65. A line parallel to the x-axis is horizontal. 5 4 y 1 21 543 1 2 3 4 5 2 3 4 5 x 3 2 1 5 4 y 1 21 543 1 2 3 4 5 2 3 4 5 x 3 2 1 5 y 1 543 1 2 3 4 5 2 1 2 3 4 5 x 4 3 2 1 For Exercises 66–74, a. Identify the equation as representing a horizontal or vertical line. b. Graph the line. c. Identify the x- and y-intercepts if they exist. (See Examples 7–8.) 66. x 3 67. y 1 68. 2y 8 69. 5x 20 70. x 3 7 71. y 8 11 5 4 y 1 2 1 4 3 1 2 3 4 5 2 3 4 5 5 x 3 2 1 5 4 y 1 2 1 4 3 1 2 3 4 5 2 3 4 5 5 x 3 2 1 5 4 y 1 2 1 4 3 1 2 3 4 5 2 3 4 5 5 x 3 2 1 72. 3y 0 73. 5x 0 74. 2x 7 10 5 4 y 1 54 3 2 1 1 2 3 4 5 2 3 4 5 x 3 2 1 5 4 y 1 543 1 2 3 4 5 2 1 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 75. Explain why not every line has both an x- and a y-intercept. 76. Which of the lines has an x-intercept? a. b. c. d. 2x 3y 6 x 5 2y 8 x y 0 77. Which of the lines has a y-intercept? a. y 2 b. x y 0 c. 2x 10 2 d. x 4y 8
miller_beginning_intermediate_algebra_4e_ch1_3
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