Applications of Slope and Intercept

This lecture series explores the meaning of slope and intercepts in the context of real-life situations. Watch the videos and complete the interactive exercises.

Using slope and intercepts in context - Questions

1. Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.

What does the x-intercept represent in this context?

Choose 1 answer:

A. The number of pages already printed when Beatrice sent the job

B. The number of seconds that passed before the printer started printing pages

C. The number of pages printed per second

D. None of the above


2. Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil remaining.

What feature of the graph represents how long Nirmala can use the lamp before it runs out of oil?

Choose 1 answer:

A. Slope

B. x-intercept

C. y-intercept

D. None of the above


3. Coleman graphed the relationship between the number of rotations of his front bike tire and the distance he traveled past a tree. Negative distance means the tree is in front of Coleman and positive distance means the tree is behind Coleman.

What does the y-intercept represent in this context?

Choose 1 answer:

A. The distance Coleman traveled per tire rotation

B. The number of tire rotations it took to be beside the tree

C. The number of tire rotations it took to travel 1 meter

D. None of the above


4.Reagan graphed the relationship between the number of bars of music he played and the total number of times his metronome clicked.

What feature of the graph represents how many times the metronome clicks per bar?

Choose 1 answer:

A. Slope

B. x-intercept

C. y-intercept

D. None of the above