americarodriguez361 americarodriguez361
  • 06-04-2020
  • Mathematics
contestada

The points (-15,3) and (-7,-1) both lie on the graph of the linear function y=f(x). What is the rate of change of f(x) with respect to x

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jimrgrant1 jimrgrant1
  • 06-04-2020

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The measure of the rate of change of a linear function is the slope.

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = (- 15, 3) and (x₂, y₂ ) = (- 7, - 1)

m = [tex]\frac{-1-3}{-7+15}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex] ← rate of change of f(x)

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