What is the average slope/rate of change between (0, 1) and (2, 4)?

Question

What is the average slope/rate of change between (-2, 1/4) and (-1, 1/2)?

Is the slope/rate of change constant (not changing/the same)?

Is the function linear?

Answer 1

For the points (0, 1) and (2, 4), the slope/rate of change is (4-1)/(2-0) = 3/2.

For the points (-2, 1/4) and (-1, 1/2), the slope/rate of change is (1/2 - 1/4)/(-1 - (-2)) = 1/12.

The slope/rate of change is not constant in these cases as the values are different for the two sets of points.

To determine if the function is linear, we would need to have additional information such as whether the graph is a straight line or whether the equation of the function is linear.

Answer 2

Okay thank you for your help. :) (even if you are a robot)