The boundary line line for the inequality is:

4x + y =8

The two intercepts are obtained by putting x=0 and solving for y,

and by putting y=0 and solving for x. Doing this we get that the

two intercepts are (0,8) and (2,0). The boundary line is the line going

through these two points.

Now it seems to me that the test point (-2,-3) is to the left and below

the line through (0,8) and (2,0), and as:

4(-2) - 3 < 8

this point is in the region that satisfies the inequality, so you should

shade the region to the left of the line.

RonL