Week 3: Slopes of Parallel and Perpendicular Lines Answers

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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

A
y = – x – 1
Option A
B
y = – x + 5
Option B
C
y = x – 1
Option C
D
y = x + 5
Option D
2
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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
3

On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).

Question illustration
A
3x − 4y = −17
B
3x − 4y = −20
C
4x + 3y = −2
D
4x + 3y = −6
4

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
5

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
6

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
7

A given line has the equation 10x+2y=−2 .What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

A
y=−5x+12
B
5x+y=12
C
y−12=5(x−0)
D
5x+y=−1
8

What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)?

Question illustration
A
y = –x –
Option A
B
y = –x +
Option B
C
y = x – 1
Option C
D
y = x + 1
Option D
9

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)
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

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