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What is the rate of change of the linear function that has a graph that passes through (9,2) and (3,-1)?

1 Answer

6 votes

Answer: 1/2

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Step-by-step explanation:

Your teacher wants you to find the slope

m = slope

m = (y2-y1)/(x2-x1)

m = (-1-2)/(3-9)

m = -3/(-6)

m = 1/2

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Extra info:

We can think of the slope as

slope = rise/run

and furthermore,

  • rise = change in y = y2-y1
  • run = change in x = x2-x1

Essentially we subtract the corresponding y coordinates together, subtract the x together (in the same order as the y values), then divide the differences.

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