Answer
Please see the graph.
Work Step by Step
$2x-7y=14$
Let $x=0$
$2x-7y=14$
$2*0-7y=14$
$-7y=14$
$-7y/-7=14/-7$
$y=-2$
Let $y=0$
$2x-7y=14$
$2x-7*0=14$
$2x=14$
$2x/2=14/2$
$x=7$
Let $x=14$
$2x-7y=14$
$2*14-7y=14$
$28-7y=14$
$14-7y=0$
$14=7y$
$14/7=7y/7$
$2=y$
Three points on the line are $(0,-2), (7,0),$ and $(14,2)$.