Answer
Refer to the graph below.
Work Step by Step
Solve for $y$.
Add $4y$ and subtract $12$ to both sides:
$x-4y+4y-12=12+4y-12
\\x-12=4y$
Divide $4$ to both sides:
$\frac{x-12}{4} = \frac{4y}{4}
\\\frac{1}{4}x-3=y
\\y=\frac{1}{4}x-3$
This means the given equation has the same graph as $y=\frac{1}{4}x-3$.
This equation has:
slope = $\frac{1}{4}$
y-intercept: $(0, -3)$
To graph the given equation, perform the following steps:
(1) Plot the y-intercept $(0, -3)$
(2) Use the slope to plot another point.
From $(0, -3)$, move 1 unit up (the rise) and 4 units to the right (the run) to reach $(4, -2)$. Plot $(4, -2)$.
(3) Connect the two points using a line to complete the graph.
(Refer to the attached image in the answer part above for the graph.)