Answer
neither
Work Step by Step
RECALL:
(1) Parallel lines have equal slopes.
(2) Perpendicular lines have slopes whose product is $-1$.
(3) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope.
Write the second equation in slope-intercept form to obtain:
$2x+4y=1
\\4y=-2x+1
\\\dfrac{4y}{4}=\dfrac{-2x+1}{4}
\\y = -\dfrac{1}{2}x +\dfrac{1}{4}$
The two line have slopes that are neither equal nor negative reciprocals of each other.
Thus, the two lines are neither parallel nor perpendicular to each other.