Equations of Parallel and Perpendicular Lines Answers

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What is the slope of a line that is perpendicular to the line y = 1?

A
–1
B
0
C
1
D
undefined
2
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What is the equation of the line that is perpendicular to the line and passes through the point (15,-5)?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Question text not available

Question illustration
A
Yes, because both lines have a slope of .
Option A
B
Yes, because both lines have a slope of .
Option B
C
No, because the slopes of the lines are not equal.
D
No, because the slopes of the lines are not opposite reciprocals of each other.
4

Which statement is true about the graphs of the two lines and ?

Question illustration
A
The lines are perpendicular to each other because –8 and are opposite reciprocals of each other.
Option A
B
The lines are perpendicular to each other because and are opposite reciprocals of each other.
Option B
C
The lines are neither parallel nor perpendicular to each other because –8 and are not opposite reciprocals of each other.
Option C
D
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Option D
5

What is the slope of a line that is parallel to the line y = x + 2?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Question text not available

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A
–4
B
Option
Option B
C
Option
Option C
D
4
7

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?

A
y = x – 8
Option A
B
y = x + 1
Option B
C
y = x + 1
Option C
D
y = x + 10
Option D
8

What is the slope of a line that is parallel to the line y = ?

Question illustration
A
Option
Option A
B
0
C
5
D
undefined
10

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

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Equations of Parallel and Perpendicular Lines…