AnswersGeometry VIA Fall 26 clyonssdale.orgEquations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines Answers

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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
2
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A
No, the triangle has no right angles.
B
Yes, the right angle is angle A.
C
Yes, the right angle is angle B.
D
Yes, the right angle is angle C.
3

What is the slope of a line that is perpendicular to the line y = x + 5?

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–2
B
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C
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D
2
4

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
5

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

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Option
Option A
B
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D
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Option D
6

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?

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A
y = x + 3
Option A
B
y = x + 7
Option B
C
y = 3x – 13
D
y = 3x + 5
7

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

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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
8

What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?

A
x = –5
B
x = 4
C
y = –5
D
y = 4
9

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Question illustration
A
–4
B
Option
Option B
C
Option
Option C
D
4
10

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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.

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