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