The given equation is:
[tex]\begin{gathered} x+3y<-6 \\ x+3y+6<0 \end{gathered}[/tex]
The slope and the y-intercept of the line is given by:
[tex]m=\frac{-1}{3},c=-2[/tex]
The graph is shown below:
As seen from the graph the points that determine the graph are (-6,0) and (0,-2) and the region is the downward region.
