(its not clear if you have usb, i am assuming you do - if not you only have the network book option left)
If you don't have an OS and don't have a CD drive then you need access to another computer to either prepare an install key or provide files/network boot services during install. First you need to download files or image of slackware if you dont already have a DVD or something. Some options are not possible if the other machine isnt running linux
Here are options that have worked for me in the past
- use a downloaded (or created using mirror-slackware-current.sh) ISO with unetbootin to create a USB drive version of the installer. This is probably the easiest if your other computer is windows based.
- follow the usb install instructions from the slackware distribution. I have had good results using the method that is under "Create a bootable USB stick non-destructively" which works while leaving the key as a "normal" filesystem - I can then add all the packages on the key as well and do the full installation from the key. This needs you to run a shell command, so you'll need a linux machine, or a shell/vm under windows
- if your laptop supports network boot, you can boot the other computer from the slackware 13.37 DVD and choose the pxe server option, as mentioned by Toby above. This sounds awesomely cool but I havent had an excuse to try it since it was added a month ago
- run an ftp server on the other computer with all the slackware files, then use the usb instructions to create a minimal boot key, and install the packages over ftp. This is not worth it unless you have many machines to install/reinstall regularly