AnswersNC-Math 4 CRAdding and Subtracting Matrices

Slope-Intercept Form Answers

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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
2
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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

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 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
5

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
6

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.
7

Mrs. Jacobson asked her students to write a word problem that describes the graph below.Which word problem accurately describes the graph?

Question illustration
A
Jamie has $8, and she pays $2 per day to ride the bus.
B
Melinda has $4 and earns $2 allowance per day doing chores.
C
Carrina has $8, and she earns $2 per day babysitting.
D
Louise has $4, and she pays $2 per day for school lunch.
8

Four students graphed one linear function each.RhettCameronEllisBradenWhich student graphed a linear function with a y-intercept at –4?

Question illustration
A
Rhett
B
Cameron
C
Ellis
D
Braden
9

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

A
y = 12x + 0.75
B
y = 0.75x + 12
C
y = 12x – 0.75
D
y = 0.75x – 12
10

Which point on the graph represents the y-intercept?

Question illustration
A
V
B
W
C
Y
D
Z

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