Proving a Relation is an Equivalence Relation | Example 1 

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A relation R on a set of integers defined as aRb if and only if (a - b) is divisible by m, is a +ve integers. Show that R is an equivalence relation.

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How can you solve this this wuestions:Define a relation on R square\(0,0) by letting (x1,y1)equivalence (x2,y2)if there exists a nonzero real number m such that (mx2,my2).prove that relation defines an eqivalence relation on R square \(0,0).What are the corresponding eqivalence classes ?This equivalence relation defines the projective line,denoted by P(R), which is very important in geometry.

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