268 Chapter 3 Graphing Linear Equations in Two Variables Section 3.4 For Exercises 51–56, write each equation in slopeintercept form. Identify the slope and the y-intercept. 51. 52. 5x 2y 10 3x 4y 12 53. 54. x 3y 0 5y 8 4 55. 56. 2y 5 y x 0 For Exercises 57–62, determine whether the equations represent parallel lines, perpendicular lines, or neither. 3 5 l1: y l1: 2x 5y 10 57. 58. l2: y 5 3 x 3 x 1 l1: 3x 2y 6 x 3 59. 60. 61. 62. l1: y 1 4 l2: x 4y 8 63. Write an equation of the line whose slope is and whose y-intercept is 10, 12. 64. Write an equation of the line that passes through the origin and has a slope of 5. 43 65. Write an equation of the line with slope that passes through the point 16, 22. 66. Write an equation of the line with slope 5 that passes through the point 11, 82. Section 3.5 67. Write a linear equation in two variables in slopeintercept form. (Answers may vary.) 68. Write a linear equation in two variables in standard form. (Answers may vary.) 69. Write the slope formula to find the slope of the line between the points 1x1, y12 and 1x2, y22. 43 l2: y 9 2 x 3 l2: y 6 l1: y 2 9 l1: 2x 4 x 4 70. Write the point-slope formula. 71. Write an equation of a vertical line (answers may vary). 72. Write an equation of a horizontal line (answers may vary). For Exercises 73–78, write an equation of a line given the following information. 73. The slope is , and the line passes through the point 6 11, 82. 74. The slope is , and the line passes through the point (5, 5). 75. The line passes through the points and 76. The line passes through the points and 77. The line passes through the point (5, 12) and is perpendicular to the line 78. The line passes through the point and is 4x y 0. parallel to the line Section 3.6 79. The graph shows the average height for girls based on age. (Source: National Parenting Council) Let x represent a girl’s age, and let y represent her height (in inches). 60 Average Height for Girls Based on Age 50 40 0 1 2 3 4 5 6 7 8 9 10 a. Use the equation to estimate the average height of a 7-year-old girl. b. What is the slope of the line? Interpret the meaning of the slope in the context of the problem. Height (in.) Age (yr) 30 20 10 0 y x y 2.4x 31 16, 72 y 56 x 3. 18, 52. 12, 52 18, 22. 10, 42 23 l2: 5x 2y 20 l2: 6x 4y 4
miller_beginning_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above