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

Slopes of Parallel and Perpendicular Lines Answers

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Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.y + 2 = –3(x – 4)y − 5 = 3(x + 11)y = -3x – y = x – 23x + y = 7

Question illustration
A
y + 2 = –3(x – 4)
B
y − 5 = 3(x + 11)
C
y = -3x –
Option C
D
y = x – 2
Option D
E
3x + y = 7
2
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Are the students correct? Explain.

A
Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).
B
Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.
C
Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.
D
Neither student is correct; the slope of the parallel line should be 1.
6

What is the slope of the line that is parallel to the given line and passes through the given point? What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? What is the y-intercept of the line that is parallel to the given line and passes through the given point?

Answers:
Selection 1:–1/4
Selection 2:y + 4 = –1/4(x + 2)
Selection 3:–9/2
7

Which line is parallel to the line 8x + 2y = 12?

A
[Image: On a coordinate plane, a line goes through (negati...]
Option A
B
[Image: On a coordinate plane, a line goes through (negati...]
Option B
C
[Image: On a coordinate plane, a line goes through (negati...]
Option C
D
[Image: On a coordinate plane, a line goes through (negati...]
Option D
8

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

A
The slope is and contains the point (0, 2).
Option A
B
The slope is and contains the point (0, −2).
Option B
C
The slope is and contains the point (0, 2).
Option C
D
The slope is and contains the point (0, −2).
Option D
9

What is the equation of the line that is parallel to the given line and passes through the given point?

A
y = –2
B
x = –2
C
y = –4
D
x = –4
10

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11

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?

A
4x – 5y = 5
B
5x + 4y = 37
C
4x + 5y = 5
D
5x – 4y = 8
12

What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +

Answers:
Part 1:3/2
Part 2:-6
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