ANSWER
[tex]y \leqslant - 2x - 2[/tex]
EXPLANATION
The boundary line passes through (-2,2) and (0,-2).
The slope of this line is
[tex]m = \frac{ - 2 - 2}{0 - - 2} [/tex]
[tex]m = \frac{ - 4}{2} = - 2[/tex]
The y-intercept is , c=-2.
The slope-intercept form of this line is given by;
[tex]y = mx + c[/tex]
We substitute values to obtain;
[tex]y = - 2x - 2[/tex]
Since the lower half-plane is shaded the required inequality is
[tex]y \leqslant - 2x - 2[/tex]
