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

Slopes of Parallel and Perpendicular Lines Answers

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1
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Is parallel to ? Explain.

Question illustration
A
no, because both lines have a slope of
B
no, because the slopes of the lines are not equal
C
yes, because both lines have a slope of
D
yes, because the slopes of the lines are not equal
2
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The slope of is .

A
–5/4
B
–6/5
C
4/5
D
5/6
3

The lines are .

A
parallel
B
perpendicular
C
neither parallel nor perpendicular
4

The slope of is .

A
–5/4
B
–6/5
C
4/5
D
5/6
5

The slope of y = 4x – 2 is .

A
–4
B
–2
C
2
D
4
6

Is Simon’s work correct?

A
No, the slope of the line 3x + 2y = –11 is not .
B
No, the slope of the line perpendicular to the line 3x + 2y = –11 should be .
C
No, he did not substitute the point and the slope into point-slope form correctly.
D
Yes, the work is correct.
7

The line perpendicular to the y-axis through the point (–4, –2) is .

A
= –4
B
y = –4
C
= –2
D
y = –2
8

The slope of a line parallel to y = 4x – 2 is .

A
–4
B
–2
C
2
D
4
9

The slope of this line is .

A
–4
B
–2
C
0
D
undefined
10

The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = .

A
–4x + 5
B
–2x + 3
C
2x + 5
D
4x + 9
11

Which statements are true? Check all that apply.

A
EH is parallel to FG.
B
EF is perpendicular to EH.
C
HG is neither parallel nor perpendicular to FG.
D
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
E
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.

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