To be able to determine the graph of this inequality, we'll start rearranging the inequality putting the "y" variable at the left side of the equation.
[tex]\begin{gathered} -10x\leq2y \\ \frac{-10x}{2}\leq\frac{2y}{2} \\ -5x\leq y \\ or \\ y\ge-5x \end{gathered}[/tex]Since the inequality here is greater than or equal to, this means that the shade is above the solid line.
This equation also has a slope of -5 and y-intercept of 0.
Therefore, the graph of this equation looks like this: