AnswersCA-Common Core Geometry DVHS Sem. 1Parallel and Perpendicular Lines

Writing Linear Equations Answers

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On a coordinate plane, a line goes through (negative 4, 4) and (4, negative 2). A point is at (6, 0).

Question illustration
A
y = –x + 8
Option A
B
y = –x + 6
Option B
C
y = x – 8
Option C
D
y = x – 6
Option D
2
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What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

A
y = –x + 33
Option A
B
y = –x + 36
Option B
C
y = 4x − 16
D
y = 4x + 16
3

The given line passes through the points and (4, 1).

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

On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).

Question illustration
A
y = x + 3
Option A
B
y = x + 2
Option B
C
y = x + 3
Option C
D
y = –x + 2
Option D
5

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).

Question illustration
A
x = −6
B
x = −4
C
y = −6
D
y = −4
6

On a coordinate plane, a line goes through (0, 1) and (5, 0).

Question illustration
A
y = x + 1
Option A
B
y = x + 5
Option B
C
y = 5x + 1
D
y = 5x + 5
7

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Question illustration
A
y = –x + 1
Option A
B
3x − 4y = −4
C
4x − 3y = −3
D
y – 2 = –(x – 4)
Option D
E
y + 2 = (x + 4)
Option E
8

On a coordinate plane, a line goes through (negative 1, 1) and (0, negative 3). A point is at (negative 4, negative 3) and (0, negative 3).

Question illustration
A
y + 3 = −4(x + 4)
B
y + 3 = –(x + 4)
Option B
C
y + 3 = (x + 4)
Option C
D
y + 3 = 4(x + 4)
9

On a coordinate plane, a line goes through (negative 8, negative 4) and (8, negative 4). A point is at (2, 6).

Question illustration
A
x = 2
B
x = 6
C
y = 2
D
y = 6
10

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).

Question illustration
A
y – 1=(x + 3)
Option A
B
y – 1=(x + 3)
Option B
C
y – 1= (x + 3)
Option C
D
y – 1= (x + 3)
Option D
11

Question text not available

Question illustration
T
They are parallel because their slopes are equal.
T
They are parallel because their slopes are negative reciprocals.
T
They are not parallel because their slopes are not equal.
T
They are not parallel because their slopes are negative reciprocals.
12

In the diagram, the length of segment TR can be represented by 5x – 4.

Question illustration
3
3 units
1
11 units
1
13 units
1
15 units
13

Question text not available

Question illustration
1
12
1
18
8
81
9
99
14

Consider the diagram.

Question illustration
T
They lie in different planes and will never intersect.
T
They lie in the same plane but will never intersect.
T
They lie in different planes but will intersect if a plane is drawn to contain both lines.
T
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
15

Question text not available

Question illustration
(
(–6, 10)
(
(–4, –8)
(
(0, –1)
(
(2, 4)
16

Two parallel lines are crossed by a transversal.

Question illustration
g
g = 75
g
g = 80
g
g = 100
g
g = 105
17

Which diagram shows lines that must be parallel lines cut by a transversal?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

Consider the two planes.

Question illustration
l
line a.
l
line b.
l
line d.
p
plane Q.
19

Question text not available

Question illustration
y
y = –x + 5
Option y
y
y = –x + 3
Option y
y
y = 3x + 2
y
y = 3x − 5
20

In the diagram, DC is 10 units and BC is 6 units.

Question illustration
6
6 units
8
8 units
1
12 units
1
16 units

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