Question

Select the correct answer which function is shown in the graph

Answer 1

Let:

`\begin{gathered} (x1,y1)=(-4,8) \\ (x2,y2)=(8,-1) \end{gathered}`

The slope of the line is:

`m=(y2-y1)/(x2-x1)=(-1-8)/(8-(-4))=-(9)/(12)=-(3)/(4)`

Using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-8=-(3)/(4)(x-(-4)) \\ y-8=-(3)/(4)(x+4) \\ y-8=-(3)/(4)x-3 \\ y=-(3)/(4)x+5 \end{gathered}`

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