This thread at the Mint forums might help:
http://forums.linuxmint.com/viewtopic.php?t=122257
It's been years since I've had to deal with anything other than Intel graphics, so I can't offer any personal experience.
According the specs
that I found here, the machine is a P4 with 512 MB RAM out of the box. That might pose a bit of a challenge. I recently set up a celeron machine with 1 GB RAM with Mint 16 for my son; it worked fine with LXDE, and MATE worked, but with plenty of time for coffee breaks.