A set of questions, with answers, on perpendicular lines and their slopes are presented. The answers to the questions are at the bottom of the page. These questions are similar to those in the compass math test.
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Which two lines given by their equations are perpendicular?
A) x = 2 and y = -2x
B) y = 3x + 1 and y = - 3x - 2
C) y = -4x + 100 and y = -(1 / 4)x - 100
D) y = x and x = 2y
E) y = x and y = -x
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Find k so that the lines given by the equations y = 0.5 x and y = - kx + 2 are perpendicular.
A) - 0.5
B) 2
C) - 2
D) 0.5
E) 1
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Which of the lines is perpendicular to the line defined by -4x + y = 6?
A) y = - 0.5 x - 6
B) y = 4 x - 5
C) y = - 4 x + 2
D) y = - 0.25 x - 8
E) y = x + 8
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Which two lines given by their equations are perpendicular?
A) x = 2 and y = 2
B) y = 2 and y = - 9
C) y = - x + 100 and y = 2 x + 5
D) y = (1/2) x and y = - 2
E) y = 2 x and y + 2x = 0
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Find A so that the lines given by the equations - 3 A x + 3y = - 5 and y = - 4 x - 1 are perpendicular.
A) - 4
B) 1 / 2
C) 1 / 4
D) - 1 / 4
E) - 1 / 2
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Which two lines given by their equations are perpendicular?
A) x = -2 y and y = 2 x
B) y = 2 and y = 2x
C) x = 1 and x = - 1
D) y = -(5) x and y = (1/5)
E) y = 1 and y = - 1
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Find the slope of a line perpendicular to the line given by the equation -5 x - 7 y = 6.
A) - 7 / 5
B) 7 / 5
C) 5 / 7
D) - 5 / 7
E) - 35
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Which of the lines below is not perpendicular to the line - 7 x + 2 y = 2?
A) 2 x + 7 y = 9
B) -4 x - 14 y = 2
C) y = - (2 / 7) x + 7
D) y = (7 / 2) x
E) 14 y = - 4 x + 100
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Which of the lines below is perpendicular to the line - (9 / 7) x - 3 y = 0?
A) (9 / 7) x + 3 y = 0
B) y = (7 / 3) x
C) y = - (7 / 3) x
D) y = (3 / 7) x
E) y = - (3 / 7) x
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What is the slope of the line perpendicular to the line given by the equation 5 + y = 2?
A) 0
B) 1
C) - 1
D) - 1 / 5
E) undefined
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