Answer
Please see the graph.
Work Step by Step
Let $x=0$
$y=\frac{1}{4}x+3$
$y=\frac{1}{4}*0+3$
$y=3$
Let $y=0$
$y=\frac{1}{4}x+3$
$0=\frac{1}{4}*x+3$
$-3=\frac{1}{4}*x$
$-3*4=4*\frac{1}{4}*x$
$-12= x$
Let $x=4$
$y=\frac{1}{4}x+3$
$y=\frac{1}{4}*4+3$
$y=1+3$
$y=4$
Three points on the line are $(0,3), (-12,0),$ and $(4,4)$.