Find direct variation if y=-6 when x=9, find x when y=-3

direct variation

y = kx

substitute y and x to find k

-6 = k (9)

divide by 9

-6/9 = k

k = - 2/3

y = - 2/3 x

now substitute y = -3 to find x

-3 = - 2/3 x

multiply by - 3/2 on each side

-3 * - 3/2 = - 3/2 * - 2/3 x

9/2 = x