Answer
The graphs are not parallel.
Work Step by Step
RECALL:
(1) The slope intercept form of a line's equation is $y=mx+b$, where $m$=slope and $(0, b)$ is the y-intercept.
(2) Parallel lines have the same slope.
Write both equations in slope-intercept form.
First Equation:
$y=4x-12$
Second Equation:
$4y=x-9
\\\frac{4y}{4}=\frac{x-9}{4}
\\y=\frac{1}{4}x-\frac{9}{4}$
The slopes are not the same, so the graphs of the two equations are not parallel.
