How to obtain the following equality relationship?

[studymma168 (Wen Dao)]

In the code below, the parameters l1 and l2 represent the same straight line. How can I use code to obtain the following equality relationship?

m == x0/(x0^2 + y0^2)
n == y0/(x0^2 + y0^2)

I used the following code but it didn’t achieve the intended purpose.

l1 = (y - y0) == -x0/y0 (x - x0)
l2 = m x + n y == 1
Solve[ForAll[{x, y}, Subtract @@ l1 == Subtract @@ l2]]

[gianlucagorni]

This is a way:

Solve[ForAll[{x, y}, Equivalent[l1, l2]], {n, m}]

[anon21378091]

Thank you!

Also:

Solve[ForAll[{x, y}, l1, l2], {n, m}]