Looking at your lsmod output, it seems that a sundance-based network adapter has been detected.
Is the device configured? Run /sbin/ifconfig and look at the output. You should have a device called lo, which is the loopback device (for connecting to 127.0.0.1 - your own computer). If your network card is properly configured you should see an eth0 device too. If the eth0 section has a part called "inet addr:xxx.xxx.xxx.xxx your card is configured properly.
If you don't have an eth0 device listed, try doing an "/sbin/ifup eth0" and look at the output. If there are no error messages the device should have been brought online properly.
I'm not familiar with Slackware, but with Debian there is a nice simple configuration file called /etc/network/interfaces where you can specify if a device should use a static address or DHCP.