Configure ALSA. Really easy for me. I just typed:
alsaconf
and, BLAM, everything just worked. Sure, it doesn't work for anyone but root, but that is easy enough to fix. Type:
chmod 666 /dev/dsp*
chmod 666 /dev/mixer*
Works for me. Now some people will tell you there is a better way, where you make a sound group, put all of the sound devices in that group, and add the users you want to have sound into that group. Well that works, too. Takes a whole lot more typing, and if you're new like I was the first time I installed Slackware, you probably just want to get everything working as quickly and easily as possible. You've got all the time in the world once you have everything working to go back and do security tweaks.
Also, since we're dealing with sound and Gnome (at least I am), go to the
Desktop Preferences and Sound. Click
Enable sound server startup and Sounds for events and close.