Answer
Parallel
Work Step by Step
$y=6x+2$ has $m=6$
$18x-3y = 15$
$18x-3y = 15$
$18x-3y +3y-15 = 15 + 3y - 15$
$18x-15 = 3y$
$(18x-15)/3 = 3y/3$
$6x - 5 = y$
$y= 6x-5$
$18x-3y = 15$ has $m=6$
The slopes are the same, so the lines are parallel.