Respuesta :

akposevictor

Answer:

[tex] -0.2 [/tex]

Step-by-step explanation:

Given:

(-3, 3.6);

(5, 2)

Required:

Rate of change

SOLUTION:

Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].

Let,

[tex] (-3, 3.6) = (x_1, y_1) [/tex]

[tex] (5, 2) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]

[tex] = \frac{-1.6}{8} [/tex]

[tex] = -0.2 [/tex]

The rate of change of y with respect to x for this function is -0.2

Given :

The graph of a linear function is shown on the grid

To find the rate of change of y with respect to x , we need to pick two points from the graph

Two points are (-3,3.6)  and (5,2)

Lets apply slope formula to find out rate of change

[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]

The rate of change of y with respect to x for this function is -0.2

Learn more :  brainly.com/question/24930128

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