Which equation represents the line that passes through the point (-2,2) and is parallel to y= 1/2 + 8?

Lines that are parallel have the same slope, and I'm going to guess you meant y= 1/2x + 8.

So already starting we know the other equation is y= 1/2x + b. But now we have to find b.

We do this by plugging in the coordinate given.

2=1/2(-2) + b
2= -1 + b
3 = b

This means the equation you want is y= 1/2x + 3.

I hope this helps!