The function to be graph is
[tex]y=-\frac{2}{3}x-3[/tex]
The function above is a linear equation, to graph this kind of function you only need to know two points and draw a line that goes through them
Let's use the cases in which x=1 and x=0, for simplicity
[tex]\begin{gathered} x=1 \\ \Rightarrow y=-\frac{2}{3}(1)-3=-\frac{2}{3}-\frac{9}{3}=-\frac{11}{3} \\ (1,-\frac{11}{3}) \\ x=0 \\ \Rightarrow y=-\frac{2}{3}(0)-3=-3 \\ (0,-3) \end{gathered}[/tex]
Those two are the point we will use to draw the graph
The two points on the plane look like this:
And the line we can draw through those two points looks like this:
