SOLUTION: Find the equation of the line with slope -1 that is the tangent to the curve y=1/(x-1) (5marks: 1mark for graph, for the general equation of the line, for getting the quadratic, f

Question 353350: Find the equation of the line with slope -1 that is the tangent to the curve y=1/(x-1)
(5marks: 1mark for graph, for the general equation of the line, for getting the quadratic, for solving for K, for the solution)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The slope of the tangent line is the value of the derivative of the function.

and
There are two points where the slope is equal to .
Find the corresponding y values using the function.
When ,
When ,
Then using the point slope form of a line with the slope and the point, for both points.

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.
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