Question

Does the equation `3x + y = 6` represent a direct variation and if so, identify the constant of variation?

Answer 1

`color(blue)("No")`

Explanation:

Direct variation is expressed by:

`y prop kx`

Where `bbk` is the constant of variation.

`prop` is used to represent proportion, but you will often see this replaced by the equality symbol `=`

Rearranging `color(white)(88)3x+y=6`

`y=-3x+6`

Comparing:

`y=-3x+6`

`y=kx`

As you can see these are not the same form, so `y=-3x+6` doesn't represent direct proportion/variation.