Answer
parallel
Work Step by Step
$y-5x=12$
$y-5x+5x=12+5x$
$y=\underset\uparrow5x+12$
$\ \ \ \ \ \ $slope
$5x-y=-6$
$5x-y-5x=-6-5x$
$-y\times-1=(-5x-6)\times-1$
$y=\underset\uparrow5x+6$
$\ \ \ \ \ \ $slope
The slope is 5 for both equations so the lines are parallel.
