Question

Which inequality is shown in this graph

Answer 1

ANSWER

$y \leqslant - 2x - 2$

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

$m = \frac{ - 2 - 2}{0 - - 2}$

$m = \frac{ - 4}{2} = - 2$

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

$y = mx + c$

We substitute values to obtain;

$y = - 2x - 2$

Since the lower half-plane is shaded the required inequality is

$y \leqslant - 2x - 2$