SOLUTION: Find the point(s) on the curve of y=1/(x-2) for which the slope of the tangent line is -1.

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Question 760583: Find the point(s) on the curve of y=1/(x-2) for which the slope of the tangent line is -1.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the point(s) on the curve of y=1/(x-2) for which the slope of the tangent line is -1.
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y = (x-2)^-1
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y' = %28-1%29%2A%28x-2%29%5E%28-2%29
-1%2F%28x-2%29%5E2+=+-1
%28x-2%29%5E2+=+1
x = 1, x = 3
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--> (1,-1) & (3,1)