This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
[tex]y=mx+b[/tex]
being m the slope of the line and b the y-intercept of it.
On the other hand, if x = 0 then y = b.
We will order the equations above without inequalities like this:
[tex]y=-x-6[/tex]
So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:
[tex]0+0\ \textless \ -6[/tex]
This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.
