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This is very important... its for alegbra.. please help

This is very important... its for alegbra.. please help-example-1

1 Answer

4 votes

Answer in decimal form = -0.2

Answer as a fraction = -1/5

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Step-by-step explanation:

The term "rate of change" is the same as "slope" for linear equations.

Use the slope formula to get the steps shown below.


(x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = (y_2 - y_1)/(x_2 - x_1)\\\\m = (2-3.6)/(5-(-3))\\\\m = (2-3.6)/(5+3)\\\\m = (-1.6)/(8)\\\\m = (-16)/(80)\\\\m = -(1)/(5)\\\\m = -0.2\\\\

The decimal value is exact without any rounding done to it.

A slope of -1/5 means we go down 1 unit and to the right 5 units.

slope = rise/run = -1/5

rise = -1 = go down 1

run = 5 = go to the right 5

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