- #1

dylanjames

- 24

- 0

Need to find equation of a line with a slope of -1 that is tangent to the curve y=1/(x-1).

So, rearranging slope formula as y=-1x+k and setting the equations equal,

y=-1x+k=1/(x-1)

y=(-1x+k)(x-1)=1

Here is where my multiplication is either totally wrong or I am not sure how to fit into the format ax^2+bx+c=0, to use quadratic formula to find root.

I have

0=-1x^2+x+kx-k-1

What do I do with the latter half of that equation??

Tried inputting a=-1, b=1 and c=(-k-1) but ended up with x=0/4 so obviously missing something.

Any help appreciated.

Cheers