Question

Does the equation represent a direct variation? If so, find the constant of variation.

5x = -3y

Answer 1

-5/3

Explanation:

Answer 2

Variation constant =
`-((5)/(3))`

Explanation:

If two variables x and y represent a direct variation then they will have the relation as y = kx

Here k is the constant of variation.

Since the given equation that represent a direct variation is 5x = -3y

3y = -5x

`y=(-(5)/(3))x`

If we compare this equation with y = kx then we find
`k=(-(5)/(3))`

Therefore constant of variation is
`-((5)/(3))`