AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Slopes of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines Answers

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–4
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Option
Option B
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Option C
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4
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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
3

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
4

What is the equation of the line that is perpendicular to the line and passes through the point (15,-5)?

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Option
Option A
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Option
Option B
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Option C
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Option D
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What is the slope of a line that is perpendicular to the line y = x + 5?

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–2
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Option
Option B
C
Option
Option C
D
2
6

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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.
7

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

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Option
Option A
B
0
C
5
D
undefined
8

Question text not available

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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.
9

Question text not available

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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
10

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
11

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
12

What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

A
–3
B
Option
Option B
C
Option
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D
Option
Option D
13

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

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