Question

What is the slope/rate of change between the inputs of 0 and 3?

What is the slope/rate of change between the domain values of 3 and 6?

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

Is the function linear?

Answer 1

Explanation:

the slope is the rate

(y coordinate difference / x coordinate difference).

between 0 and 3

x changes bt +3 (from 0 to 3).

y changes by +2 (from -2 to 0).

the slope is +2/+3 = 2/3.

between 3 and 6

x changes by +3 (from 3 to 6).

y charges by +2 (from 0 to 2).

the slope is +2/+3 = 2/3

yes, it is constant.

because, yes, it is linear. demonstrated by the graph, which is a straight line (hence the term "linear").