Finding and drawing equivalence class with a binary set defined on RxR
In the question, it has been asked to find and draw the equivalence classes of the relation on which is defined as
On solving, I have obtained the equivalence class as
On solving this, I got and and which will correspond to the set of straight lines having slope 1 and y-intercept excluding the straight line passing.
But in the solution of this question, the equivalence class is given as the set of all straight lines passing through the origin(which is excluded).
I have just begun discrete math, and I am not getting any idea of the solution.
It would be really helpful if someone could help me with this.