Question

Jamal drew the function below. Which explains whether or not his function is linear?

On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.

Answer 1

It is linear because it has a constant rate of change.

Explanation: slope = (0 − 1.5)/(1.5 − 0) = −1. The graph is a straight line (e.g. y = −x + 1.5), so the rate of change is constant.