Thread: Help with a differentiation question

Hey guys, I have a little problem with an calculus question here:

Q: The gradient of the normal of a curve is given as (x-1)/(y-1). Find the equation of the curve if it passes through the point (2,2).

Now I know that the gradient of the curve is -(y-1)/(x-2), but how do I integrate this since it involve 2 variables? I'm thinking that this question might be a pure differentiation question in which I just need to manipulate the variable to make y the subject. But how?

Separate the variables and integrate.

* * * * * * * ** * * *

Oh!! It didn't occur to me to split it at that point in time. Well thank you