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All lines are parallel to itself, so it is reflexive.
Let,
L1 is parallel to L2 is same as L2 is parallel to L1 i.e.
Hence,it is symmetric.
Let,
Hence, it is transitive,
Thus,
, is equivalence relation.
The set of all lines related to the line
are lines parallel to 
Here, Slope = m = 2 and constant = c = 4
It is known that slope of parallel lines are equal.
Lines parallel to this (
) line are 
, 
Hence, set of all parallel lines to
are 
.