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The graph of the linear function y=f(x) passes through the points (1,2) and (5,-1). What is the rate of change of y with respect to x?

Respuesta :

calculista

Answer:

The rate of change is [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

we know that

The rate of change of y with respect to x is equal to the slope of the linear equation

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(1,2)\ B(5,-1)[/tex]

Substitute the values

[tex]m=\frac{-1-2}{5-1}[/tex]

[tex]m=-\frac{3}{4}[/tex]

hosnataimoorhussian

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