Forum Moderators: bakedjake
I'm assuming you are going to connect the two machines using Ethernet? (There are other ways, but that's probably the easiest.)
Just make the machine with the wireless connection the default gateway on the other machine.
You probably have a GUI network settings program similar to the network settings in Windows. (Exactly what it is called and how you will find it depends on your Linux distro.)
Otherwise, it just takes one "route" command.