Snap a chalk line on the floor that outlines the location of the wall.
Mark a 2-by-4 stud at 16-inch intervals and set it aside. This is the sill plate, which is the bottom framing member upon which the studs stand.
Lay a stud perpendicular against the sill at each mark. Lay another stud at the other end of the studs. This is your wall layout.
Toenail (nail at a 45-degree angle) each stud to the sill plate with two nails at each 16-inch mark. Repeat with the top plate at the other end of the studs. Place another stud atop the top plate and nail it on.
Raise the wall on the chalk outline. Nail the end of the sill and top plates to the sill and top plates of an exterior or adjacent wall, depending on where you are framing. Nail the sill plate to the floor, using masonry nails if concrete is beneath the vinyl.