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Question 465258: Is the given function linear or nonlinear? If it is linear, determine the slope. Please show all of your work.
x
___
2
-3
4
5
-2
y=f(x)
________
7
-3
11
7
4
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Is the given function linear or nonlinear? If it is linear, determine the slope. Please show all of your work.
x........f(x)
___
2........7
-3.......-3
4........11
5........7
-2.......4
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The slope is the change in y when x increases by one.
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Your Problem:
As x goes from -3 to -2, y goes from -3 to 4: m = 7
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But as x goes from 4 to 5, y goes from 11 to 7: m = -4
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Since the slope is not constant between your points,
the relation is not linear.
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Cheers,
Stan H.
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