AnswersJHHS LA-Algebra ISlope of a Line

Writing Linear Equations Answers

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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
2
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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
3

Which is the graph of the equation ?

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

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
5

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
6

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.
7

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
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

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

A
–5
B
–4
C
4
D
5
11

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
12

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

Question illustration
A
1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
13

Which equation represents a line that passes through (2, –) and has a slope of 3?

Question illustration
A
y – 2 = 3(x + )
Option A
B
y – 3 = 2(x + )
Option B
C
y + = 3(x – 2)
Option C
D
y + = 2(x – 3)
Option D
14

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
15

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
16

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
17

The graph shows the increase in temperature over time in an oven.

Question illustration
A
The change in the y-values is 40 and the change in the x-values is 1.
B
The change in the y-values is 1 and the change in the x-values is 40.
C
The change in the y-values is 150 and the change in the x-values is 2.
D
The change in the y-values is 190 and the change in the x-values is 3.
18

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Question illustration
A
Option
B
Option
C
Option
D
Option
19

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

A
m = 72 – 15d
B
m = 90 – 6d
C
m = 101 – 21d
D
m = 108 – 3d
20

The table shows the number of grapes eaten over several minutes.

Question illustration
A
15 grapes eaten per minute
B
15 minutes to eat each grape
C
60 grapes eaten per minute
D
60 minutes to eat each grape

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