Question

Find the rate of change of the linear function from the point ​(0​,12​) to the point ​(​16,8​).

Answer 1

The rate of change, or the slope is
`-(1)/(4)` or -0.25

Using the formula
`(y2-y1)/(x2-x1)` we get:

`(8-12)/(16-0) = (-4)/(16) = (-1)/(4)`

Answer 2

-1/4

Explanation:

Rate of change formula (slope)

`(y^2-y^1)/(x^2-x^1)`

Plug in.

`(12-8)/(0-16)`

Combine like terms.

`(4)/(-16)`

`(-1)/(4)`

Slope means rise over run. Find the change in the y value and the change in the x value to calculate slope.