#### Answer

Neither

#### Work Step by Step

We are given two lines written in the form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept.
$y=2x-12$ and $y=\frac{1}{2}x-6$
In order for two lines to be parallel, they must have the same slope. However, $m=2$ for the first line and $m=\frac{1}{2}$, so they have different slopes and cannot be parallel.
Two lines are perpendicular if the product of their slopes is equal to -1.
$2\times\frac{1}{2}=1$
Therefore, these two lines cannot be perpendicular either.