Question

I need to find a equation for the graph

Answer 1

Let:

`\begin{gathered} (x1,y1)=(0,2) \\ (x2,y2)=(2,0) \\ \text{The slope is:} \\ m=(y2-y1)/(x2-x1)=(0-2)/(2-0)=(-2)/(2)=-1 \end{gathered}`

Using the point-slope equation:

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