Question

What is the rate of change of the line relationship Modeled in the table ?

Answer 1

- 1

Explanation:

The measure of the slope m is the rate of change of the linear function

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 4) ← 2 ordered pairs from the table

m =
`(4-5)/(-1+2)` =
`(-1)/(1)` = - 1

Thus rate of change is - 1