Question

Is `4x = -6y` a direct variation equation and if so, what is the constant of variation?

Answer 1

constant of variation `=-6/4=-3/2`

Explanation:

if x varies directly as y. simply solve for x to find the constant of variation

from the given:
`4x=-6y`

`(4x)/4=(-6y)/4` divide both sides of the equation by 4

`(cancel4x)/cancel4=(-6y)/4`

then

`x=(-6y)/4` and the constant of variation is the numerical coefficient `-6/4`