AnswersWHS Pre-Algebra - MA3119 A-CRProportional Relationships

Slope-Intercept Form Answers

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Kelsey graphed the equation y = 3x + 1 as shown below.Which describes Kelsey’s error?

Question illustration
A
Kelsey graphed the y-intercept on the x-axis.
B
Kelsey graphed –3 instead of 3 as the y-intercept.
C
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
D
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
2
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Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

A
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Option A
B
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
Option B
C
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
Option C
D
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Option D
3

Which is the graph of the linear function that is represented by the equation ?

Question illustration
A
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).
Option A
B
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
Option B
C
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
Option C
D
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Option D
4

Which point on the graph represents the y-intercept?

Question illustration
A
V
B
W
C
Y
D
Z
5

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

A
y = negative StartFraction 1 Over 20 EndFraction x minus 5
Option A
B
y = negative StartFraction 1 Over 20 EndFraction x + 5
Option B
C
y = negative 20 x minus 5
Option C
D
y = negative 20 x + 5
Option D
6

Which linear equation has a slope of 3 and a y-intercept of –2?

A
y = 3x + 2
B
y = 3x – 2
C
y = –2x + 3
D
y = –2x – 3
7

At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this situation?

A
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 3).
Option A
B
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 1) and (1, 2).
Option B
C
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 4).
Option C
D
A graph titled Orange Juice has number of refills on the x-axis and total cost on the y-axis. A line goes through points (0, 2) and (1, 3).
Option D
8

Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1 unit lower on the graph but has the same slope as Adriana’s line. Which is Henry’s equation?

A
y = x + 4
B
y = 3x + 4
C
y = 2x + 3
D
y = 2x + 5
9

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

A
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
Option A
B
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Option B
C
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
Option C
D
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).
Option D
10

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

A
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

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