AnswersGeometry VIA Fall 26 clyonssdale.orgEquations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines — Unit test Answers

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Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

A
negative StartFraction 5 Over 2 EndFraction
Option A
B
negative StartFraction 2 Over 5 EndFraction
Option B
C
StartFraction 2 Over 5 EndFraction
Option C
D
StartFraction 5 Over 2 EndFraction
Option D
3

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

Question illustration
A
f(x) = –2x + 1
B
f(x) = –x + 1
Option B
C
f(x) = x + 1
Option C
D
f(x) = 2x + 1
4

The table represents a linear function.

Question illustration
A
–10
B
–5
C
5
D
10
5

Mrs. Jackson gives the table below to her students.

Question illustration
A
a = 22 because the rate of change is 1.
B
a = 20 because the rate of change is 3.
C
a = 22 because the rate of change is –1.
D
a = 20 because the rate of change is –3.
6

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

Question illustration
A
f(x) = x + 4
Option A
B
f(x) = x + 6
Option B
C
f(x) = x – 10
Option C
D
f(x) = x – 12
Option D
7

A coordinate plane with a line passing through points at (0, negative 2) and (4, negative 1).

Question illustration
A
y = 4x – 2
B
y = –4x – 2
C
y = x – 2
Option C
D
y = – x – 2
Option D
8

A coordinate plane with a line passing through the points (0, negative 1, 0) and (4, 0).

Question illustration
A
x – 4y = 4
B
x + 4y = 4
C
y = x – 1
Option C
D
y = –x – 1
Option D
9

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

A
y – 1 = 6x
B
y – 1 = 3x
C
y – 7 = 2x – 6
D
y – 7 = x – 2
10

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

A
–15
B
–9
C
3
D
9
11

What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (–4, –3)?

A
x = –4
B
x = –3
C
x =
Option C
D
x = 6
12

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

Question illustration
A
The slope of g(x) is the opposite of the slope of f(x).
B
The slope of g(x) is less than the slope of f(x).
C
The slope of g(x) is greater than the slope of f(x).
D
The slope of g(x) is equal to the slope of f(x).
13

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of . Which shows the graph of this equation?

Question illustration
A
Option
B
Option
C
Option
D
Option
14

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

At a glance, Kendra believes that the function represented on the graph is linear.

Question illustration
A
She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
B
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
C
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
D
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

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