Answer
The graph is shown below.
Work Step by Step
The given inequality is
$-4x+y\lt-7$
Graph $-4x+y=-7$. Use a dashed line because the inequality symbol is $ \lt$.
Test $(0,0)$.
$\Rightarrow -4x+y\lt -7$
$\Rightarrow -4(0)+0\lt -7$
$\Rightarrow 0+0\lt -7$
$\Rightarrow 0\lt - 7$
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
