Question

Is `y/6 = x` a direct variation equation and if so what is the constant?

Answer 1

`y/6=x` is a direct variation equation with a variation onstant of `6`

Explanation:

One way to think about this is that a direct variation equation
is a non-vertical line that passes through the origin.

If you can write an equivalent equation in slope-intercept form:
`color(white)("XXX")y=mx+b` with the y-intercept `b=0`
then the equation is a direct variation (with variation constant `m`)

`color(green)(y/6=x) hArr color(red)(y=6x+0)`