Respuesta :

Slope: (y2-y1)/(x2-x1)
(3-9)/(-1-2) = -6/-3 = 2
The rate of change is 2

The linear function is y = 3x + 6. Then the rate of change of the linear function will be 3.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The linear equation that is passing through the points  (2,9) and (-1,3).

Then we have

y - 3 = [(3 - 9)(-1 - 2)] (x + 1)

y - 3 = (-6) / (-2) (x + 1)

y - 3 = 3x + 3

    y = 3x + 6

Then the rate of change of the linear function will be

y' = 3

More about the differentiation link is given below.

https://brainly.com/question/24062595

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