#### Answer

Neither

#### Work Step by Step

$y=4x+\frac{1}{2}$
$4x+2y=1$
$2y=-4x+1$
$y=-2x+\frac{1}{2}$
The coefficients of $x$ for both equations are not the same, so the slopes are different. This means this pair of lines is not parallel.
For a pair of lines to be perpendicular to each other, the slope of one equation must be the negative reciprocal of the other. $4$ and $-2$ are not negative reciprocals of each other. This means this parallel is not perpendicular either.