Home/Integrated Math 1/Lesson 73

Interpret the slope and y-intercept of a linear function

Translate slope and intercept into context-based meaning.

Do this: Read the concept below, then try the quiz or activity.

Lesson 73 of 192
38%

Concept

Objective: Students will interpret slope and intercept in real-world models.

Estimated Time: 12 minutes

Standards:
HSF-IF.B.4HSF-LE.B.5

Slope is the change per unit input; y-intercept is the starting value when input is zero.

Try it

For C = 15x + 40 (cost after x rides), interpret 15 and 40.

Concept Check

In y = 6x + 20, 20 represents:

Concept Check

In distance = 55t + 12, 55 means:

Common Misconception
The y-intercept is not a “rate”; it is the starting value at x = 0.

Interpret linear models

These steps are out of order — can you fix them?

1.Match intercept to start value
2.Match slope to rate
3.Identify variable units
4.Explain in context sentence

Short Answer

Why is context important when interpreting m and b?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

In y = 6x + 20, 20 represents:

Question 2

In distance = 55t + 12, 55 means:

Pass the mastery check (80%+) to unlock completion.