Finding Tangents

[Raymond120]

Find an equation for each tangent to the curve y = 1 / (x-1) that has a slope of -1.

 

[Deleted member 4993]

Find an equation for each tangent to the curve y = 1 / (x-1) that has a slope of -1.

I would start with the knowledge that - the derivative of a function at a given point is equal to the slope of the tangent line (to the function) at that point.

Please show us what you have tried and exactly where you are stuck.

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[Someonewithoutanswers]

Once you find for which X the derivate is -1 you can use the following equation
y=1/(X-1)+(-1)(x-X) (you can find this using the definition of a tangent to a curve).