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Let L be the set of all lines in X Y=...

Let `L` be the set of all lines in `X Y=p l a n e` and `R` be the relation in `L` defined as `R={(L_1,L_2): L_1` is parallel to `L_2}dot` Show that `R` is an equivalence relation. Find the set of all lines related to the line `y=2x+4.`

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