I know the question sounds weird, they're not supposed to have intercepted.
I'm trying to create a hyperbolic equation for an algorithm that has a y-intercept of $50$ and an x-intercept of $100$. I'm starting with $y = \frac{1000}{x}$, and I've just been staring at Desmos for a while messing with values, but I can't seem to find any meaningful numbers. I came across the golden ratio at some point, but I do not know how that fits in. How would I go about finding this equation?
The graph of $(x-a)(y-b)=1$ is a hyperbola. You can solve a couple of equations to find values of $a$ and $b$ so it goes through $(0,50)$ and $(100,0)$. If I did my algebra/arithmetic right, $a=(100\pm\sqrt{10008})/2$ and $b=(50a+1)/a$.