Let's begin by listing out the given information
[tex]\begin{gathered} h(x)=-\frac{2}{3}x-2 \\ h(x)=y \\ y=-\frac{2}{3}x-2 \end{gathered}[/tex]We will graph the function by assuming values for the independent variable (x = -3, 0, 3
[tex]\begin{gathered} y=-\frac{2}{3}x-2 \\ x=-3 \\ y=-\frac{2}{3}(-3)-2=2-2=0 \\ (x,y)=(-3,0) \\ x=0 \\ y=-\frac{2}{3}(0)-2=0-2=-2 \\ (x,y)=(0,-2) \\ x=3 \\ y=-\frac{2}{3}(3)-2=-2-2=-4 \\ (x,y)=(3,-4) \end{gathered}[/tex]We will plot the ordered points (shown below)