Answer
The graph is shown below.
Work Step by Step
The given inequality is
$-9x+3y\geq3$
Graph $-9x+3y=3$. Use solid line because the inequality symbol is $ \geq$.
Test $(0,0)$.
$\Rightarrow -9x+3y\geq3$
$\Rightarrow -9(0)+3(0)\geq3$
$\Rightarrow 0+0\geq3$
$\Rightarrow 0\geq3$
false.
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
