C Challenge

Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.

59. ( − 2 , 6 ) , open negative 2 comma 6 close comma  (0, 2), (1, 0)
60. ( 3 , − 5 ) , open 3 comma negative 5 close comma   ( − 3 , 3 ) , open negative 3 comma 3 close comma  (0, 2)
61. Geometry Prove that the triangle with vertices (3, 5), ( − 2 , 6 ) , open negative 2 comma 6 close comma  and (1, 3) is a right triangle.
62. Geometry Prove that the quadrilateral with vertices (2, 5), (4, 8), (7, 6), and (5, 3) is a rectangle.

Standardized Test Prep

SAT/ACT

63. Which line is perpendicular to the line shown in the graph?

    

    1. − 3 x + y = 5 negative 3 x plus y equals 5
    2. 3 x + y = − 1 3 x plus y equals negative 1
    3. x − 3 y = 3 x minus , 3 y equals 3
    4. x + 3 y = − 3 x plus 3 y equals negative 3
64. Which line is parallel to the line 5 x + 6 y = 30 ? 5 x plus 6 y equals 30 question mark
    6. 5 x + 9 y = 30 5 x plus 9 y equals 30
    7. 9 x + 6 y = 30 9 x plus 6 y equals 30
    8. 5 x + 6 y = 9 5 x plus 6 y equals 9
    9. 6 x + 5 y = 30 6 x plus 5 y equals 30

Short Response

65. What is the solution of the inequality | x − 3 | ≥ 5 ? vertical line x minus 3 vertical line greater than or equal to 5 question mark  Graph the solution.

Mixed Review

See Lesson 2-1.

Find the domain and range of each relation and determine whether it is a function.

66. { ( − 3 , 4 ) , ( − 1 , 2 ) , ( 0 , − 2 )  ,  ( 1 , 0 ) , ( 2 , 2 ) } the set open negative 3 comma 4 close comma open negative 1 comma 2 close comma open 0 comma negative 2 close comma open 1 comma 0 close comma open 2 comma 2 close end set
67. 
68. 
    Image Long Description

See Lesson 1-2.

Name the property of real numbers illustrated by each equation.

69. 2 5 + 27 5 ⋅ 5 27 = 2 5 + 1 2 fifths , plus , 27 over 5 , dot , 5 twenty sevenths , equals , 2 fifths , plus 1
70. 97 ( 7 ) = 100 ( 7 ) − 3 ( 7 ) 97 open 7 close equals 100 open 7 close minus 3 open 7 close
71. 21 + 19.7 − 19.7 = 21 21 plus , 19.7 , minus , 19.7 , equals 21

See Lesson 2-3.

Get Ready! To prepare for Lesson 2-5, do Exercises 72–75.

Write the equation for each line. Use slope-intercept form.

72. m = 3 m equals 3  and the y-intercept is ( 0 , − 5 ) . open 0 comma negative 5 close .
73. m = 1 2 m equals , 1 half  and the y-intercept is (0, 0).
74. m = 4 5 m equals , 4 fifths  and the y-intercept is (0, 7).
75. m = − 3 8 m equals negative , 3 eighths  and the y-intercept is (0, 12).

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