# Too many slopes eh?

**Calculus**Level 1

At what points does the tangent to the graph of the function

\[f(x)=\dfrac{1}{(x-1)}\]

has slope \(=-1\)?

- Provide the answer as the sum of \(x\) and \(y\) coordinates of all such points.

At what points does the tangent to the graph of the function

\[f(x)=\dfrac{1}{(x-1)}\]

has slope \(=-1\)?

- Provide the answer as the sum of \(x\) and \(y\) coordinates of all such points.

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