Question

Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for < or ">" for >.(-3,0)(0, -3)

Answer 1

Let:

`\begin{gathered} (x1,y1)=(-3,0) \\ (x2,y2)=(0,-3) \end{gathered}`

The slope m is given by:

`m=(y2-y1)/(x2-x1)=(-3-0)/(0-(-3))=(-3)/(3)=-1`

Using the point-slope equation:

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

since the area is above the line, and the line is continuous:

`y\ge-x-3`