x and y vary inversely means y is inversely proportional to x, this means:
y=k/x, where k is a constant.
We are given that when x=-4, y=7/2, we replace these values to find k.
7/2=k/-4
k= (-4*7)/2=-14
So we have y=-14/x
Therefore, when x=4, y=-14/4= -7/2