Question

Which inequality is shown in this graph

Answer 1

`y \leqslant - 2x - 2`

Step-by-step explanation

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

The slope of this line is

`m = ( - 2 - 2)/(0 - - 2)`

`m = ( - 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`