Which graph represents the solution set to the system of inequalities?
The line y + 6 = -3x has a y-intercept at (0, -6) . This rules out the top two graphs.
The line y = \(\frac13\)x + 4 is graphed correctly on both of the bottom two graphs.
The inequality says that y < \(\frac13\)x + 4 , so the side below the line must be shaded.
That rules out the fourth graph. (It would have been right if the inequality was y > \(\frac13\)x + 4 ).
So the third option is correct. Here's a graph of the three inequalities from desmos: