The center is (0,0)
The since (8,2) is on the graph....the equation of the asymptote will have a positive slope...so....
y = (b / a) x and we know that (x, y) = (8, 2)....so....
2 = (b / a) (8)
2/8 = (b / a)
1/4 = b / a which implies that
4 /1 = a / b = 4