Question

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

Answer 1

have you found y'

Answer 2

I can't use derivatives yet.

Answer 3

that is weird
this question requires derivatives

Answer 4

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

Answer 5

are you there?

Answer 6

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.

Answer 7

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

Answer 8

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