AnswersOC27 GEO-1206310-S1-Degele-VOL7006PSlopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines — Unit test Answers

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What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.
2
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On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative 4, 0) and (4, 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are negative reciprocals.
3

The graph shows the amount of money Miguel earns after working x hours.

Question illustration
A
hours per dollar
Option A
B
hours per dollar
Option B
C
3 dollars per hour
D
13 dollars per hour
4

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

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

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

A
inch up per foot across
Option A
B
inch up per foot across
Option B
C
2 inches up per foot across
D
3 inches up per foot across
6

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 4)
D
(4, 0)
7

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

A
negative StartFraction 4 Over 3 EndFraction
Option A
B
negative StartFraction 3 Over 4 EndFraction
Option B
C
StartFraction 3 Over 4 EndFraction
Option C
D
StartFraction 4 Over 3 EndFraction
Option D
8

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3
9

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

A
It is linear because the graph decreases over time.
B
It is linear because there is both an independent and a dependent variable.
C
It is nonlinear because linear functions are increasing functions.
D
It is nonlinear because linear functions increase or decrease at the same rate.
10

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
11

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
12

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

Question illustration
A
−3
B
Option
Option B
C
Option
Option C
D
3
13

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
14

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are not negative reciprocals.
15

The table shows the profit from a school book fair based on the number of books sold.

Question illustration
A
$0.50 per book
B
$0.67 per book
C
$1.07 per book
D
$1.50 per book
16

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
17

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

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

The graph of a linear function is shown.

Question illustration
A
positive
B
negative
C
zero
D
undefined
19

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).

Question illustration
A
line AB
B
line CD
C
line FG
D
line HJ
20

Which graph has a slope of ?

Question illustration
A
Option
B
Option
C
Option
D
Option

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