Question

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

Answer 1

direct variation is of the form y=kx, so y/x should be a constant, k...

-8/-2=-16/-4=-24/-6=k=4 so y=kx is:

y=4x

Answer 2

K = 4 and y = 4x

Explanation:

we have to find the constant of variation for the table in which y varies directly with x

y ∝ x

y = Kx

Where K is constant of variation.

K =
`(y)/(x)`

1. For x = -2 and y = -8

K =
`(-8)/(-2)` = 4

2. For x = -4 and y = -16

K =
`(-16)/(-4)` = 4

3. For x = -6 and y = -24

K =
`(-24)/(-6)` = 4

Therefore, K = 4 and y = 4x will be the equation.