Question

Is `y=3.2x` a direct variation equation and if so, what is the constant of variation?

Answer 1

`y=3.2x` is a direct variation equation with a constant of variation `= 3.2`

Explanation:

Any linear equation of the form:
`color(white)("XXX")y=c*x`
or
`color(white)("XXX")y/x=c`
for some constant `c` is a direct variation equation (with direct variation constant of `c`).

Another way to look at it:
Any linear equation which passes through the origin, i.e. through `(0,0)`, and is neither a horizontal nor a vertical line
is a direct variation equation with a direct variation constant equal to the slope of the the line.