Answer
The graph is shown below.
Work Step by Step
The given inequality is
$y\leq3x-1$
Graph $y=3x-1$. Use a solid line because the inequality symbol is $ \leq$.
Test $(0,0)$.
$\Rightarrow y\leq 3x-1$
$\Rightarrow 0\leq 3(0)-1$
$\Rightarrow 0\leq 0-1$
$\Rightarrow 0\leq - 1$
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.