Question

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

Answer 1

`y=x+2` is not a direct variation.

Explanation:

Note that one possible solution for `y=x+2` is `(x,y)=(1,3)`

If `y=x+2` were a direct variation then (for example) doubling the value of `x: 1rarr2` would double the value of `y:3rarr6`
but if `x=2`
then `y=x+2=2+2=4 !=6`

Looking at it another way
if an equation (in `x` and `y`) is a direct variation
then it can be arranged into the form
`color(white)("XXX")y=c*x` for some constant `c`
This can not be done with the equation `y=x+2`