We have the following:
when two lines are parallel the slopes are equal
[tex]y=\frac{1}{2}x+6[/tex]in this case, the slope is 1/2, therefore:
[tex]\begin{gathered} x-2y=-4 \\ \frac{1}{2}x-y=-2 \\ y=\frac{1}{2}x+2 \end{gathered}[/tex]The answer is the first option