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=(y2-y1)/(x2-x1)=(-4-0)/(2-(-6))=(-4)/(8)=-(1)/(2)`

Using slope point equation:

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

since the values are below the line:

`x+2y\le-6`