I've been through a few versions of Slackware on my Asus EeePC and I must, despite that fact that every has been having lots of trouble (or so I've heard) configuring Linux on it, it hasn't been all that bad for me. One problem that continues to persist is that the brightness setting is weird. It doesn't like to display on full brightness most the time, and when I try to change the brightness (function keys or OS function), it goes through 3 'mini-cycles'. I've tried the Alien eeepc-acpi-scripts slackbuild a while back and it didn't work for me before. While searching for another solution, I found this thread on the Ubuntu forums:

http://ubuntuforums.org/showthread.php?t=1412922

But the major fix that seems to be working for them involves editing GRUB (which I don't have). Another post suggests simply updating the BIOS, but the BIOS updater is a Windows executable, and I'm not quite sure how he pulled it off in Linux.

Any suggestions?

Looks like I posted too soon. A solution that worked for me was to update the BIOS by downloading the .ROM file from the ASUS website and renaming to the model of my computer (ie. 1005P.ROM). Then take a spare flash drive, format it as fat16, copy the .ROM file to it and restart the computer. As the computer is starting, hold Alt+F2 and it'll look for the file and update the BIOS. Then things work!