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Let L be the set of all straight lines i...

Let L be the set of all straight lines in the XY plane and let R be a relation defined in L as `R={(L_1,L_2) : L_1, L_2 in L}` `L_1` is parallel to `L_2` Show that R is an equivalence relation. What is the set of lines related to the line `y=2x+3`?

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`:.` R is equivalence relation.
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