Answer
Please see the graph.
Work Step by Step
$x+y\geq -2$
Replace the $\geq$ inequality sign with $=$ to find the boundary line.
$x+y=-2$
$y=-x-2$
Let $x=0$ (y-intercept)
$y=-x-2$
$y=-0-2$
$y=-2$
Let $y=0$ (x-intercept)
$y=-x-2$
$0=-x-2$
$x=-2$
$(-2,0)$ and $(0,-2)$ are on the line.
Use $(0,0)$ to determine what side of the line to shade.
$x+y\geq -2$
$0+0\geq -2$
$0 \geq -2$ is a true statement, so we shade the side of the line with $(0,0)$.