Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2)

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2) : L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

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