Question

Is `5x-6y=0` a direct variation equation and if so what is the constant?

Answer 1

`y=(5/6)x+0` where constant is 0.
graph{(5/6)x [-10, 10, -5, 5]}

Explanation:

`5x-6y=0`
`5x=6y`
`y=(5/6)x+0`
graph{(5/6)x [-10, 10, -5, 5]}

Answer 2

`k=5/6`

Explanation:

`"a direct variation equation has the form"`

`•color(white)(x)y=kxlarr" k is the constant of variation"`

`5x-6y=0rArr6y=5x`

`rArry=5/6xlarr" direct variation equation"`

`rArrk=5/6`