Slope of a Line Answers

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1
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The graph of a linear function is shown.

Question illustration
A
positive
B
negative
C
zero
D
undefined
2
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The table represents a linear function.

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A
–6
B
–4
C
4
D
6
3

What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

A
positive slope
B
negative slope
C
constant slope
D
increasing function
E
decreasing function
4

Which graph has a slope of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?

A
positive
B
zero
C
negative
D
undefined
6

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Question illustration
A
The loan balance decreases $500 per month.
B
Harrison makes a monthly payment of $250.
C
The loan balance increases $250 per month.
D
Harrison increases his monthly payment by $500 each month.
7

Which relationship has a zero slope?

A
Option
B
Option
C
Option
D
Option
8

The graph of a linear function is shown.

Question illustration
A
positive
B
negative
C
zero
D
undefined
9

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

A
It takes Aaron about 1 hour to mow 2 acres.
B
Aaron’s rate for mowing lawns is 0.5 acres per hour.
C
The ratio of acres to time is 5 acres to 3 hours.
D
The rate to mow a lawn is 0.6 hours per acre.
10

The table shows the height of water in a pool as it is being filled.

Question illustration
A
The height of the water increases 2 inches per minute.
B
The height of the water decreases 2 inches per minute.
C
The height of the water was 2 inches before any water was added.
D
The height of the water will be 2 inches when the pool is filled.

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