Question

y varies DIRECTLY as x. find the constant of variation for the following ordered pairs: ( 12,4); (9,6); ( 3,2).

Answer 1

Hello and Welcome to Openstudy! :)

let "the constant of variation" be called k
then when y varies directly with x
it would be y = kx
then for each ordered pair plug in (x, y) and solve for k

Answer 2

so for example for the ordered pair (12, 4)
plug in 12 for x and 4 for y
in y = kx
so 4 = 12k then solve for k :)