Answer
Please see the graph, made using graphing software.
Work Step by Step
$x+y > -2$
To find the boundary line, the $>$ sign is replaced with an $=$ sign.
$x+y=-2$
Let $x=0$ (y-intercept)
$x+y=-2$
$0+y=-2$
$y=-2$
Let $y=0$ (x-intercept)
$x+y=-2$
$x+0=-2$
$x=-2$
$(0, -2)$ and $(-2,0)$ are on the line.
Use $(0,0)$ to determine what side of the line to shade.
$x+y>-2$
$0+0 > -2$
$0 > -2$ is a true statement, so we shade the side of the line with $(0,0)$.
