Question

Determine whether the equation represents a direct variation. If it does, find the constant of variation. 7x = −6y

Answer 1

The constant variation -7/6

Answer 2

Answer: Yes , it is direct variation equation.

The constant of variation
`=(-7)/(6)`

Explanation:

We know that , the equation for the direct variation between two variables x and y is given by :-

`y= kx` , where k is the constant of proportionality .

The given equation :
`7x = -6y`

When we divide both sides by -6 , we get

`(7)/(-6)x=y`

Or we can write it as
`y=(-7)/(6)x`

Which is in the form of direct variation equation
`y= kx`.

By comparing them , the constant of variation becomes :

`k=(-7)/(6)`

⇒The constant of variation
`=(-7)/(6)`