In order to graph the function, we need first to find the coordinates of the points. To do so, we need to apply the values of x given in the domain and calculate the corresponding values of y. So we have that:
[tex]\begin{gathered} x=-5\colon \\ -2\cdot(-5)-10y=10 \\ 10-10y=10 \\ -10y=0 \\ y=0 \\ \\ x=0\colon \\ -2\cdot(0)-10y=10 \\ -10y=10 \\ y=-1 \\ \\ x=5\colon \\ -2\cdot(5)-10y=10 \\ -10-10y=10 \\ -10y=20 \\ y=-2 \\ \\ x=10\colon \\ -2\cdot(10)-10y=10 \\ -20-10y=10 \\ -10y=30 \\ y=-3 \end{gathered}[/tex]So the points are (-5, 0), (0, -1), (5, -2) and (10, -3).
Graphing these points, we have that:
