Answer
neither parallel nor perpendicular
Work Step by Step
RECALL"
(i) Two lines are parallel if they have (a) equal slopes or (b) undefined slopes.
(ii) Two lines are perpendicular if they have (a) slopes whose product is $-1$ or (b) if one has a zero slope and the other has an undefined slope.
(iii) The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b=y-intercept.
Write both equations in slope-intercept form to have:
Equation 1:
$y=\frac{1}{2}x+4$
Equation 2:
$4y=-2x+1
\\y=\frac{-2x+1}{4}
\\y=-\frac{1}{2}x+0.25$
The line have unequal slopes whose product is not equal to $-1$. Thus, the lines are neither parallel nor perpendicular.
