Question

3. An inequality is graphed on the coordinate plane below. 6- 4+ 2+ → -8-6-4 2 4 6 8 -6-

Answer 1

$m=\frac{y2-y1}{x2-x1}=\frac{-4-0}{2-(-6)}=\frac{-4}{8}=-\frac{1}{2}$

Using slope point equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-0=-\frac{1}{2}(x-(-6)) \\ y=-\frac{1}{2}x-3 \\ 2y=-x-6 \\ \end{gathered}$

since the values are below the line:

$x+2y\le-6$