The graph of $$y=-\frac{1}{6} x-4$$ is shown on the grid. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-30%20at%201.10.00%20PM_20230530111040975993.png) Which ordered pair is in the solution set of $$y>-\frac{1}{6} x-4$$ ?

Answer Putting $$x=-8, y=8$$ in $$y>-\frac{1}{6} x-4$$, $$ 8>-\frac{1}{6} \cdot(-8)-4 $$ $$ 8>-2.67 $$ Therefore, $$(-8,8)$$ can be the solution of $$y>-\frac{1}{6} x-4$$. Putting $$x=6, y=-5$$ in $$y>-\frac{1}{6} x-4$$, $$ -5>-\frac{1}{6} \cdot 6-4 $$ $$-5=-5$$ Therefore, $$(6,-5)$$ cannot be the solution of $$y>-\frac{1}{6} x-4$$. Putting $$x=4, y=-6$$ in $$y>-\frac{1}{6} x-4$$ $$ -6>-\frac{1}{6} \cdot 4-4 $$ $$ -6 \ngtr-4.67 $$ Therefore, $$(4,-6)$$ cannot be the solution of $$y>-\frac{1}{6} x-4$$. Putting $$x=-2, y=-7$$ in $$y>-\frac{1}{6} x-4$$, $$ -7>-\frac{1}{6} \cdot(-2)-4 $$ $$ -7 \ngtr-3.67 $$ Therefore, $$(4,-6)$$ cannot be the solution of $$y>-\frac{1}{6} x-4$$.

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MCQ

The graph of $y=-\frac{1}{6} x-4$ is shown on the grid.

Which ordered pair is in the solution set of $y>-\frac{1}{6} x-4$ ?

Select all that apply :

$(-8,8)$

$(6,-5)$

$(4,-6)$

$(-2,-7)$

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