Math Help - Parameterisation of surface region

1. Parameterisation of surface region

The question

Find a parameterisation for the surface region S of the plane 2x + 3y + z = 4 bounded by $-1 < x + y \le 3$, $2 \le x - y \le 4$

I'm not sure how to attempt this. I graphed the bounds on the x-y plane and noticed that its just a rectangle. But how do a parameterise a surface? Thanks.

EDIT: Not to worry, I worked it out. I needed to substitute u = x + y and v = x - y, then write the parameterisation in terms of u and v.