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Slope and Y-intercept Key Words - Printable Mathematics Worksheets - Wayground

Slope and Y-intercept Key Words

17 questions

8th - 8th Grade

Mathematics

Slope and Y-intercept Key Words is a free Grade 8 mathematics worksheet for connecting vocabulary and real-world situations to the two parts of a linear relationship. Students complete 17 multiple-choice questions that ask them to identify what the slope or y-intercept represents in contexts such as pizza pricing, wages, savings, candle height, fair admission, cab fares, and changing weight. The worksheet also asks students to recognize key terms—including rate of change, per, before, fee, membership, initial, and every—and determine whether each points to the slope or y-intercept. These questions reinforce that slope describes a rate of change or repeated amount, while the y-intercept represents an initial value, starting cost, or fixed amount. A complete answer key is included, making this free printable worksheet useful for guided practice, independent review, or a quick formative assessment.

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Slope and Y-intercept Key Words

Total questions: 17

Name
Class
Date
1.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

a)

It cost 1.50 per topping

b)

It cost 1.50 for unlimited toppings

c)

It cost $15 for each topping

d)

The starting cost is $15 for a large pizza with no toppings

2.

An employer uses the equation

y = 9x + 100 What COULD be the meaning of the y-intercept?

a)

$100 bonus check

b)

$9 earned each hour

c)

100 people every day

d)

the pay for a really good work

3.

The graph represents the money in a savings account. What is the meaning of the y-intercept?

a)

The initial deposit was $30

b)

$30 is added to the account each week

c)

It took 30 weeks to same enough money to open an account

d)

not enough information

4.

The graph represents the height of a burning candle. What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the height before the candle started burning

c)

the change in the height of the candle each hour

d)

the rate at which the candle is losing height

5.

What does the SLOPE mean in the context of the problem?

a)

The cost will decrease by $1.40 per topping

b)

The cost will increase by $1.40 per topping

c)

The cost will increase by $1.90 per topping

d)

The cost will decrease by $1.90 per topping

6.

What is the meaning of the slope?

a)

The cost to get into the fair is $5

b)

cost $1.75 for every ride you go on.

c)

The cost to get into the fair is $1.75

d)

The total cost for the day will increase by $5 for every ride you go on.

7.

The function C(m)+0.75m+2.25


represents the total cost (C) you have to pay to take a cab m miles. What is the meaning of the SLOPE?

a)

The cost of the trip will increase by $0.75 per mile.

b)

You will have to pay $2.25 before you travel any miles.

c)

You will have to pay $0.75 before you travel any miles.

d)

The cost of the trip will increase by $2.25 per mile.

8.
Mr. Thompson weighs 287 pounds. He plans on losing 3 pounds per week. Choose the correct model that represents this situation. W will represent weight and t represents time in weeks. 
a)
W(t)=3t+287
b)
W(t)=-3t+287
c)
W(t)=-3t-287
d)
W(t)=3t-287
9.

What do you have to calculate for this key word.

Rate of change

a)

slope

b)

Y-intercept

10.

What do you have to calculate for this key word.

Per

a)

slope

b)

Y-intercept

11.

What do you have to calculate for this key word.

Before

a)

slope

b)

Y-intercept

12.

What do you have to calculate for this key word.

Fee

a)

slope

b)

Y-intercept

13.

What do you have to calculate for this key word.

Membership

a)

slope

b)

Y-intercept

14.

What do you have to calculate for this key word.

Initial

a)

slope

b)

Y-intercept

15.

What do you have to calculate for this key word.

every

a)

slope

b)

Y-intercept

16.

This only happens once or is what you start with

a)

Slope

b)

Y-intercept

17.

This happens more than once or repeats

a)

Slope

b)

y-intercept

Answer Key

Slope and Y-intercept Key Words

Total questions: 17

1.
d)

The starting cost is $15 for a large pizza with no toppings

2.
a)

$100 bonus check

3.
a)

The initial deposit was $30

4.
b)

the height before the candle started burning

5.
b)

The cost will increase by $1.40 per topping

6.
b)

cost $1.75 for every ride you go on.

7.
a)

The cost of the trip will increase by $0.75 per mile.

8.
b) W(t)=-3t+287
9.
a)

slope

10.
a)

slope

11.
b)

Y-intercept

12.
b)

Y-intercept

13.
b)

Y-intercept

14.
b)

Y-intercept

15.
a)

slope

16.
b)

Y-intercept

17.
a)

Slope

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FAQs

What does the Slope and Y-intercept Key Words worksheet cover?

This Grade 8 worksheet uses 17 multiple-choice questions to help students interpret slope and y-intercept in equations, graphs, and real-world situations. Students identify slope as a rate or amount that changes per unit, identify y-intercept as an initial or fixed value, and classify key words such as “per,” “every,” “initial,” “fee,” and “before.”

How can I use this worksheet to teach students the difference between slope and y-intercept?

Introduce the worksheet by having students sort its vocabulary into two categories: words describing change, such as “per” and “every,” and words describing a starting amount, such as “initial,” “fee,” and “before.” Then model one context question, such as the pizza or cab example, by identifying the fixed cost and the amount that changes before students complete the remaining multiple-choice items and explain their choices.

What mistakes should I watch for on this slope and y-intercept worksheet?

Students may reverse the roles of the two values, choosing the starting cost as the slope or the per-unit charge as the y-intercept. They may also ignore whether a quantity is increasing or decreasing, as in the weight model where losing 3 pounds per week requires a negative slope, or confuse the fair’s admission fee with its cost per ride.

How do I assign and grade this slope and y-intercept worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time while students practise interpreting linear relationships.

How can I differentiate the slope and y-intercept worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the multiple-choice options and key-word items are easier to scan. You can also enable a dyslexia-friendly font or translate the worksheet into another language when students need support accessing the vocabulary used to distinguish slope from y-intercept.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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