Ok so i'm a little stuck on how to prove this..
Consider the set of points (x,y) in the plane (real numbers)^2. Define a relation R(subset 2) on the set as follows:
(x1,y1)R(subset 2)(x2,y2) whenever x1y1=x2y2
Prove that R(subset 2) is an equivalence relation.
Any help would be greatly appreciated. I know i need to prove that it is reflexive, symmetric and transitive but i'm not sure on how to go about it.