Answer
parallel: $y = 6x$ and $y = 6x-2$
perpendicular: $ y = -1/6*x$ with $ y = 6x$ and $ y = -1/6*x$ with $ y = 6x-2$
Work Step by Step
$ y = -1/6*x$ has $m = -1/6$
$y = 6x$ has $m = 6$
$y = 6x-2$ has $m = 6$
If two slopes are the same, then they are parallel. If the product of two slopes is -1, then those two lines are perpendicular.
$-1/6 * 6 = -1$, so there are two pairs of perpendicular lines. Those pairs are $ y = -1/6*x$ with $ y = 6x$ and $ y = -1/6*x$ with $ y = 6x-2$.
