Question

I know how to graph but the answer I get doesn't seem to pop up as my options

Answer 1

So you found a solution that satisfies the system of equations but it's not one of the ones listed?

Then I guess what you should instead do is,
plug each of your options into the system and see which one holds true.

(1,0) = (x,y)

y = -2x+5
y = 1/2x

0 = -2(1) + 5
0 = 1/2(1)

1/2 does not equal 0,
so we can see that (1,0) is NOT the option we're looking for.