Because y varies inversely as x, instead of directly, you will need to multiply x by a fractional number (or divide x) in order to find y.
When x=8, y=4. Therefore, to find y, you need the "equation" y=(1/2)(x) or y=x/2.
So, when x=2, y=(1/2)(2) or y=2/2.
And so, y=1
Hope this helps!