Equations Of Lines In Slope-Intercept And Standard Form Worksheet (Page 8 of 9) in pdf

Equations Of Lines In Slope-Intercept And Standard Form Worksheet Page 8

188

(4–32)

Chapter 4 Linear Equations in Two Variables and Their Graphs

57. 2y

62. y

Write an equation in slope-intercept form, if possible, for

58. 2x

each line. See Example 6. In each case, make a sketch.

63. The line through (0, 6) that is perpendicular to the line

64. The line through (0,

1) that is perpendicular to the

line y

65. The line with y-intercept (0, 3) that is parallel to the line

66. The line through the origin that is parallel to the line

67. The line through (2, 3) that runs parallel to the x-axis

59. 3x

68. The line through ( 3, 5) that runs parallel to the y-axis

69. The line through (0, 4) and (5, 0)

70. The line through (0,

3) and (4, 0)

Solve each problem. See Example 7.

71. Marginal cost. A manufacturer plans to spend

$150,000 on research and development for a new lawn

mower and then $200 to manufacture each mower. The

formula C

200n

150,000 gives the cost in dollars

of n mowers. What is the cost of 5000 mowers? What is

60. 4x

the cost of 5001 mowers? By how much did the one

extra lawn mower increase the cost? (The increase in

cost is called the marginal cost of the 5001st lawn

mower.)

72. Marginal revenue. A defense attorney charges her

client $4000 plus $120 per hour. The formula

120n

4000 gives her revenue in dollars for

16.5

61. y

15.5

97 98 99 100 101 102 103

Time (hours)

F I G U R E F O R E X E R C I S E 7 2

Equations Of Lines In Slope-Intercept And Standard Form Worksheet Page 8