I don't know.
But e2fsck as well as cfdisk and fdisk are available on the Slackware installation media, with their respective manuals.
Just boot it, change you keyboard layout if needed, login as root (just hit enter) and you can rescue your system. For instance you can use aforementioned apps and mount Slackware-1337's partitions. e.g.:
mount -t auto /dev/sda1 /slackware-13.37
replace /dev/sda1 by the device name of your slackware-13.37 root partition.
EDIT Or boot directly your system from the install media as indicated on the greeting screen. Chances are that e2fsck will run automatically then.