IXL | Interpret the slope and y-intercept of a linear function: positive slopes

Emmett is planning a party at an escape room. The escape room will charge Emmett a booking fee and an additional cost per person attending the party.

This situation can be modeled as a linear relationship.

What does the slope of the line tell you about the situation?

The booking fee is

After the booking fee, the party will cost

per person.

After the booking fee, the party will cost

per person.

Including the booking fee, it would cost Emmett

250

total for 10 people to attend.

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Learn with an example

question

Ted is signing up for a Mo' Rewards membership through his Mo's Movie Rental app. There is a one-time cost for the membership, but the total amount Ted will spend over time depends on how many movies he rents.

This situation can be modeled as a linear relationship.

What does the

-intercept

of the line tell you about the situation?

The membership costs

Each movie costs

to rent.

Including the cost of the membership, Ted would spend

to rent 5 movies.

Ted can rent up to 10 movies.

key idea

The

-intercept

of a line is the value of

where the line crosses the

-axis.

It is the

-value

when

solution

To determine what the

-intercept

tells you about the situation, first find the

-intercept.

Look for the point where the line intersects the

-axis.

The line intersects the

-axis

(

)

This point tells you that if Ted rents 0

movies,

or if he only pays for the membership, he spends

So, this statement is what the

-intercept

tells you about the situation:

green checkmark, The membership costs .

These statements are not what the

-intercept

tells you about the situation:

red X symbol, Each movie costs to rent.

This statement is true, but this is what the slope, , tells you about the situation.

red X symbol, Including the cost of the membership, Ted would spend $60 to rent 5 movies.

This statement is true, but this is what the point tells you about the situation. The point is not the -intercept.

red X symbol, Ted can rent up to 10 movies.

The graph tells you the total amount Ted pays depending on how many movies Ted rents. It does not tell you how many movies Ted can rent.

Looking for more? Try these:

Lesson: Linear functions

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