Answer
$y> -x-3$
Work Step by Step
First find an equation of the line. Use the points. $(x_1,y_1) = (0,-3)$ and $(x_2,y_2)= (6,-9)$. The slope of the line is \begin{equation}
\begin{aligned}
m& = \frac{y_2-y_1}{x_2-x_1}\\
& =\frac{-9-(-3)}{6-0}\\
&= -1.
\end{aligned}
\end{equation} This gives $y= -x+b$. Use the first point to find $b$.
\begin{equation}
\begin{aligned}
-3&= -(0)+b\\
-3& =b.
\end{aligned}
\end{equation} An equation of the line is $y= -x-3$. Since the shaded region is above the dashed line, the inequality may be written as: $$y> -x-3.$$
