Answer
Please see the graph.
Work Step by Step
Three points on the line $y=-1/2x+4$:
Let $x=-6$
$y=-1/2x+4$
$y=-1/2*(-6)+4$
$y=3+4$
$y=7$
Let $x=0$
$y=-1/2x+4$
$y=-1/2*0+4$
$y=0+4$
$y=4$
Let $x=4$
$y=-1/2x+4$
$y=-1/2*4+4$
$y=-2+4$
$y=2$
$(-6,7), (0,4)$, and $(4,2)$ are all on the line