64. 1. Graph 2 x + 3 y = 6 , 2 x + 3 y = 12 , 2 x plus 3 y equals 6 comma 2 x plus 3 y equals 12 comma  and 2 x + 3 y = 18 2 x plus 3 y equals 18  in the same coordinate plane.
    2. How are the lines from part (a) related?
    3. As C increases, what happens to the graph of 2 x + 3 y = C ? 2 x plus 3 y equals c question mark
65. 1. Fundraising Suppose your school is having a talent show to raise money for new band supplies. You think that 200 students and 150 adults will attend. It will cost $200 to put on the talent show. What is an equation that describes the ticket prices you can set for students and adults to raise $1000?
    2. Open-Ended Graph your equation. What are three possible prices you could set for student and adult tickets?

Standardized Test Prep

SAT/ACT

66. What is y = − 3 4 x + 2 y equals negative , 3 fourths , x plus 2  written in standard form using integers?

    1. 3 4 x + y = 2 3 fourths , x plus y equals 2
    2. 3 x + 4 y = 2 3 x plus 4 y equals 2
    3. 3 x + 4 y = 8 3 x plus 4 y equals 8
    4. − 3 x − 4 y = 8 negative 3 x minus 4 y equals 8

67. Which of the following is an equation of a horizontal line?

    6. 3 x + 6 y = 0 3 x plus 6 y equals 0
    7. 2 x + 7 = 0 2 x plus 7 equals 0
    8. − 3 y = 29 negative 3 y equals 29
    9. x − 2 y = 4 x minus 2 y equals 4

68. Which equation models a line with the same y-intercept but half the slope of the line y = 6 − 8 x ? y equals 6 minus 8 x question mark

    1. y = − 4 x + 3 y equals negative 4 x plus 3
    2. y = 6 − 4 x y equals 6 minus 4 x
    3. y = 3 − 8 x y equals 3 minus 8 x
    4. y = − 16 x + 6 y equals negative 16 x plus 6

69. What is the solution of 7 2 x − 19 = − 13 + 2 x ? 7 halves , x minus 19 equals negative 13 plus 2 x question mark

    6. − 9 negative 9
    7. − 4 negative 4
    8. 4
    9. 9

Short Response

70. The drama club plans to attend a professional production. Between 10 and 15 students will go. Each ticket costs $25 plus a $2 surcharge. There is a one-time handling fee of $3 for the entire order. What is a linear function that models this situation? What domain and range are reasonable for the function?

Mixed Review

See Lesson 5-4.

Write an equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form.

71. ( 5 , − 1 ) , ( − 3 , 4 ) open 5 comma negative 1 close comma open negative 3 comma 4 close
72. ( 0 , − 2 ) , ( 3 , 2 ) open 0 comma negative 2 close comma open 3 comma 2 close
73. ( − 2 , − 1 ) , ( 1 , 2 ) open negative 2 comma negative 1 close comma open 1 comma 2 close

See Lesson 3-6.

Solve each compound inequality. Graph your solution.

74. − 6 < 3 t ≤ 9 negative 6 less than 3 t less than or equal to 9
75. − 9.5 < 3 − y ≤ 1.3 negative 9.5 less than 3 minus y less than or equal to 1.3
76. 3 x + 1 > 10  or  5 x + 3 ≤ − 2 3 x plus 1 greater than 10 , or , 5 x plus 3 less than or equal to negative 2

Get Ready! To prepare for Lesson 5-6, do Exercises 77–79.

See Lesson 5-1.

Find the slope of the line that passes through each pair of points.

77. (0, − 4 negative 4 ), (2, 0)
78. (5, 5), (3, − 1 negative 1 )
79. ( − 4 , negative 4 comma  2), (5, 2)

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