AnswersNC-Foundations of Math 1 Fall 2nd 9 WeeksWriting Linear Functions

Writing Linear Functions — Unit test Answers

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A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line?

A
On a coordinate plane, a vertical line is at x = negative 2.
Option A
B
On a coordinate plane, a horizontal line is at y = negative 2.
Option B
C
On a coordinate plane, a vertical line is at x = negative 8.
Option C
D
On a coordinate plane, a horizontal line is at y = negative 8.
Option D
2
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A teacher presented students with four tables. Table 1Table 2Table 3Table 4Which table describes a linear function that has a slope of 2?

Question illustration
A
Table 1
B
Table 2
C
Table 3
D
Table 4
3

Which equation represents a line with a slope of zero?

A
y = 2 x
Option A
B
y = negative one-half x + one-half
Option B
C
y = 4
Option C
D
x = negative 5
Option D
4

The graph shown below represents a ladder leaning against a wall. The bottom of the ladder is 4 feet from the wall, and the top of the ladder reaches 20 feet above the ground. What is the slope of the graph?

Question illustration
A
–24
B
–20
C
–5
D
–4
5

Sanjay said that if a line has a slope of zero, then it never touches the x-axis. Which line proves that his statement is incorrect?

A
x = 0
B
y = 0
C
x = 1
D
y = 1
6

The linear equation when b = 5 and m = –2 is

A
y = 5x – 2.
B
y = 5x + 2.
C
y = –2x – 5.
D
y = –2x + 5.
7

A line has a slope of and passes through the point (–5, 4). Which is the equation of the line?

Question illustration
A
y = negative three-fourths x + one-fourth
Option A
B
y = negative three-fourths x + 4
Option B
C
y = negative three-fourths x minus 2
Option C
D
y = negative three-fourths x minus one-fourth
Option D
8

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

Question illustration
A
–6
B
–1
C
1
D
6
9

Which equation represents the linear function that is shown on the graph below?

Question illustration
A
y = one-half x + 4
Option A
B
y = one-half x minus 2
Option B
C
y = 4 x minus 2
Option C
D
y = negative 2 x + 4
Option D
10

A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?

A
It has a slope of zero because the change in the y-values is 0.
B
It has no slope because the change in the y-values is 0.
C
It has a slope of zero because the change in the x-values is 0.
D
It has no slope because the change in the x-values is 0.
11

Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the value of the slope?

Question illustration
A
The y-intercept is 3, and the slope is .
Option A
B
The y-intercept is , and the slope is 3.
Option B
C
The y-intercept is 3, and the slope is 3.
D
The y-intercept is , and the slope is .
Option D
12

Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills.AndrewKarleighAndrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?

Question illustration
A
Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of mile per minute compared to Karleigh’s mile per minute.
Option A
B
Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of mile per minute compared to Andrew’s mile per minute.
Option B
C
Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of mile per minute compared to Andrew’s mile per minute.
Option C
D
Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of mile per minute compared to Karleigh’s mile per minute.
Option D
13

The point-slope form of a line that has a slope of and passes through point (6, 0) is shown below.What is the equation in slope-intercept form?

Question illustration
A
y = two-thirds x minus 12
Option A
B
y = two-thirds x minus 6
Option B
C
y = two-thirds x minus 4
Option C
D
y = two-thirds x minus 8
Option D
14

Maricella plots two ordered pairs on the grid below. The line segment is extended to cross both axes. What is the location of the y-intercept on the line?

Question illustration
A
(0, –22)
B
(0, –10)
C
(0, –5)
D
(0, 5)
15

A toy airplane climbs 30 vertical feet while traveling 50 feet horizontally. A toy helicopter climbs 20 feet while traveling 40 feet horizontally. Assuming a steady rate of change, which toy traveled at a greater slope?

A
The airplane did, because .
Option A
B
The airplane did, because .
Option B
C
The helicopter did, because .
Option C
D
The helicopter did, because .
Option D

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