Slope-Intercept Form Answers

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Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?

A
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (5, 125), (10, 175).
Option A
B
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (1, 75), (2, 100).
Option B
C
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).
Option C
D
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (5, 100), (10, 150).
Option D
3

What is the slope and the y-intercept of the line on the graph below?

Question illustration
A
slope = –4, y-intercept = 1
B
slope = –4, y-intercept = 4
C
slope = , y-intercept = 1
Option C
D
slope = , y-intercept = 4
Option D
4

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

Question illustration
A
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option A
B
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option B
C
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option C
D
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option D
6

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.
7

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
8

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
9

What is the slope, m, and y-intercept for the line that is plotted on the grid below?

Question illustration
A
m = , (0, –2)
Option A
B
m = , (0, 4)
Option B
C
m = 2, (0, –2)
D
m = 2, (0, 4)
10

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

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