JLW902568 JLW902568
  • 17-05-2022
  • Mathematics
contestada

What is the rate of change for a linear function containing the points 2,12 and 6,6?

Respuesta :

jimrgrant1 jimrgrant1
  • 17-05-2022

Answer:

- [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

the slope m between the 2 points is a measure of the rate of change

calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (6, 6 )

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex] ← rate of change

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