Let's change your question into a y=mx+b format first.
4x-2y=1
-2y=-4x+1
y=2x-.5
A line parallel to that will need the same slope. But we can change the "b" (or in this case, -.5) to whichever number we like. Example answer would be:
y=2x+5
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4x2y The degree of the monomial is 2.
They are parallel lines
12x2y2
false
x = negative 1 is a vertical straight line parallel to the y axis at x = -1 ; its slope is infinite