Answer
Please see the graph, made using graphing software.
Work Step by Step
$x-4y\leq4$
Treat this line as $x-4y=4$ to draw the boundary line.
Two points on the line
Let $x=0$
$x-4y=4$
$0-4y=4$
$-4y=4$
$-4y/-4=4/-4$
$y = -1$
Let $y=0$
$x-4y=4$
$x-4*0=4$
$x-0=4$
$x=4$
$(0,-1)$ and $(4,0)$ are on the boundary line.
The test point is $(0,0)$ (to see what side we will shade).
$x-4y\leq4$
$0-4*0\leq 4$
$0-0 \leq 4$
$0 \leq 4$ is a true statement, so we shade the side of the line with the test point.