AnswersCA-Common Core Geometry DVHS Sem. 1Proving Lines Parallel

Writing Linear Equations Answers

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

Question illustration
A
y + 2 = –3(x – 4)
B
y − 5 = 3(x + 11)
C
y = -3x –
D
y = x – 2
E
3x + y = 7
2
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(–2, –4)(–2, 4)(2, –4)(2, –2)

A
(–2, –4)
B
(–2, 4)
C
(2, –4)
D
(2, –2)
3

–2–1/21/22

A
–2
B
–1/2
C
1/2
D
2
4

y = (–1/2)x – 3y = –2x + 2y = (1/2)x – 1 y = (1/2)x – 3

A
y = (–1/2)x – 3
B
y = –2x + 2
C
y = (1/2)x – 1
D
y = (1/2)x – 3
5

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

–4 –1/41/44

A
–4
B
–1/4
C
1/4
D
4
7

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

A
[Image: On a coordinate plane, a line goes through (negati...]
B
[Image: On a coordinate plane, a line goes through (negati...]
C
[Image: On a coordinate plane, a line goes through (negati...]
D
[Image: On a coordinate plane, a line goes through (negati...]
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).
B
The slope is and contains the point (0, −2).
C
The slope is and contains the point (0, 2).
D
The slope is and contains the point (0, −2).
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

–2–1/21/2 2

A
–2
B
–1/2
C
1/2
D
2
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

y = [___] x + [___]

Answer:

4

13

Which points are on the perpendicular bisector of the given segment? Check all that apply.(−8, 19)(1, −8)(0, 19)(−5, 10)(2, −7)

A
(−8, 19)
B
(1, −8)
C
(0, 19)
D
(−5, 10)
E
(2, −7)
14

What is the slope 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
15

y + 4 = –4(x + 2)y + 4 = 4(x + 2)y + 4 = –1/4(x + 2)y + 4 = 1/4(x + 2)

A
y + 4 = –4(x + 2)
B
y + 4 = 4(x + 2)
C
y + 4 = –1/4(x + 2)
D
y + 4 = 1/4(x + 2)
16

–9/2–7/247

A
–9/2
B
–7/2
C
4
D
7

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