The answer is: **`3xy=6` is not a linear equation.**

Solving for y we get the function:

`y=6/(3x)`

`y=2/x` or `y=2x^-1` , x is at the -1 power.

The general form of a linear equation is `ax+b=c`, or expressed as a function `y=ax+b` and the graph is a line. x is at the power of 1

In this case `y=2x` would be a linear equation.

See the graphs below:

`y=2x` blue

`y=2/x` red