Equations of Parallel and Perpendicular Lines Answers

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Which statement is true about the graphs of the two lines y = –6 and x = ?

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A
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0.
Option A
B
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0.
Option B
C
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined.
Option C
D
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.
Option D
2
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Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

Question illustration
A
The lines are perpendicular to each other because and are opposite reciprocals of each other.
Option A
B
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
Option B
C
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Option C
D
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
Option D
3

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Question illustration
A
Yes, because the slope of is and the slope of is .
Option A
B
Yes, because the slope of is and the slope of is .
Option B
C
No, because the slope of is and the slope of is .
Option C
D
No, because the slope of is and the slope of is .
Option D
10

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A
–4
B
Option
Option B
C
Option
Option C
D
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Equations of Parallel and Perpendicular Lines…