Question

Does the equation 7x-4y=0 represent a direct variation? what is the constant of variation?

Answer 1

yes, k =
`(7)/(4)`

Explanation:

The equation representing direct variation is

y = kx ← k is the constant of variation

rearrange 7x - 4y = 0 into this form

subtract 7x from both sides

- 4y = - 7x ( divide both sides by - 4 )

y =
`(7)/(4)` x ← in standard form

with k =
`(7)/(4)`