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

Question

freckles · Answer

have you found y'

anonymous · Answer

I can't use derivatives yet.

freckles · Answer

that is weird 
this question requires derivatives

freckles · Answer

what ways are you suppose to use if you haven't had derivatives mentioned

freckles · Answer

are you there?

freckles · Answer

I can try to help you figure it out if you tell me what you guys have been doing to find slopes of curves or a point associated with a given slope for a curve.

freckles · Answer

but the only way I can think of is using derivatives so far
$$f'(x)=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}$$

radar · Answer

The curve is a two part curve.  There is a positive curve and a negative curve.  And an asymptote at x = 1