Hi,

I'm stuck on a question for an assignment and any help would be appreciated. Here is the question:

Give a complete list of the distinct equivalence classes of the equivalence relation on R^2. For each distinct equivalence class, give a representative of the equivalence class.

(x,y)~(a,b) iff x^{2}y = a^{2}b

So far, I've figured out that the relation can be re-written as x^{2}y = C, C∈ R. However, I don't how to find all the distinct equivalence classes and their representatives... I searched for guidance online but there was little information to be found on this topic.

Thanks