Question

Is `2x+3y=0` a direct variation equation and if so, what is the constant of variation?

Answer 1

`color(blue)(2x+3y=0)` is a direct variation equation with a constant of variation `color(red)((-2/3))`

Explanation:

`2x+3y=0`
can be written as
`color(white)("XXX")y=color(red)(-2/3)x`
which is a common form for a direct variation equation.