Given
We are going to find the slope. since they are parallel is the slope will be equal
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have two points
(-2,2) and (2,4)
[tex]Slope=\frac{4-2}{2--2}=\frac{2}{4}=\frac{1}{2}[/tex]
Now
[tex]\begin{gathered} point\text{ \lparen2,-1\rparen} \\ x=2 \\ y=-1 \\ y=mx+b \\ -1=\frac{1}{2}\times2+b \\ -1=1+b \\ b=-2 \\ \\ \Rightarrow y=\frac{1}{2}x-2 \end{gathered}[/tex]
The final answer
Option C
[tex]y=\frac{1}{2}x-2[/tex]
