Question

How do you determine the constant of variation for the direct variation given `-6y=-3x`?

Answer 1

Constant of variation `=1/2`

Explanation:

For a direct variation in `x` and `y` (with `y` as the dependent variable),
the direct variation equation is
`color(white)("XXXX")y=color(green)(c)*x` where `color(green)(c)` is the constant of variation.

`-6y=-3x`
`color(white)("XXXX")rArr y = color(green)(1/2)x` (after dividing both sides by `(-6)`