Question

Is `3x + 5y =0` a direct variation equation and if so, what is the constant of variation?

Answer 1

Explanation is given below.

Explanation:

If the question is on direct variation the equation would be like `y=kx` where `k` is the constant of variation. Note all direct variation equation would be a line through the origin.

`3x+5y=0`

Solving for `y`

`5y=-3x`

`y=-3/5x`

This is of the form `y=kx`

`k=-3/5`

The constant of variation is `-3/5`