1. ## Equivalence relation problem

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2. Originally Posted by cub
Hi, i'm having a bit of trouble with a couple of problems:

1. Define the relation ~ on R^2 by (x1,y1)~(x2,y2)<=>2(y1-y2)=(x1-x2). Show that ~ is an equivalence relation and describe geometrically the equivalence classes.

2. let ~ be an equivalence relation on Z such n~n+5 and n~n+8. prove that n~m for all n,m in Z.
Can you show what work you have done thus far on these?
We cannot help if we don't know where you have trouble.

3. For part 1 i know that i need to show that it is reflexive, symmetric and transitive to show that it is an equivalence relation. But i'm not sure how to go about doing that.