I have searched through math.stackexchange for related posts, but failed to either connect or transfer/map to my following mind-experiment:
Suppose we are given two lines described by: $3x+4y=2$ and further $-3x-2y=2$. They both intersect at $(-2,2)$. How can I compute the hyperbola using these two lines as the hyperbolas asymptotes?
A simple first naive approach with $$\frac{(x-x_0)^2}{a^2}-\frac{(y-y_0)^2}{b^2}=1$$ did not yield the expected result. It seems like the rotation is missing.
Thank you in advance for any hints and With best regards