Question

What is the very general formula for finding the slope of an asymptote in a hyperbola?

Answer 1

well lets consider
\[f(x)=a/(x-p)+p\]
\[f \prime (x)=-a/(x-p)^{2}\]

Answer 2

which asymptote vertical or horizontal

Answer 3

\[\frac{(x-C_x)^2}{a^2}\pm\frac{(y-C_y)^2}{b^2}=1\]
\[A=\pm\sqrt\frac{b^2}{a^2}(x-C_x)+C_y\]maybe