Question

write an equation for each tangent to the curve y = 1 / (x - 1) that has slope -1

Answer 1

take the derivative, set it equal to one, solve the quadratic

Answer 2

1 or -1?

Answer 3

\[-\frac{1}{(x-1)^2}=-1\]
\[(x-1)^2=1\] etc

Answer 4

oh sorry i meant \(-1\) as you wrote

Answer 5

\[(x-1)^2=1\]
\[x-1=1\implies x=2\] or
\[x-1=-1\implies x=0\]

Answer 6

ok. and now i need to write an equation for each