(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the equation of the line with slope -1 that is tangent to the curve y=1/x-1

2. Relevant equations

y=1/x-1

3. The attempt at a solution

Slope of -1 means y=-1x+k

So...

-1x+k = 1/x-1

I don't know how to rearrange this into a quadratic equation so that I can solve this.

I know I use b^2-4ac=0 and substituting for a, b and c.... I'm just stuck on rearranging the equation into the form: ax^2+bx+c=0

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# Find the equation of the line with slope -1 that is tangent to the curve y=1/x-1

**Physics Forums | Science Articles, Homework Help, Discussion**