First, this question should probably be moved to the Slackware forum.
Second, if you created, as root, a user name and password and saved it, you should be name to sign on to that user name.
Is your computer booting to the command line? If so, when it asks you to log in, simply do so. Enter your user name, hit enter. When prompted for the password, type in the password for that user name and hit the enter key. That should do it.
If you signed in as root, log out, then log in under your user name.
BTW, for security reasons, one user cannot see the files of another user, but root can.
Did you install Slackware from a DVD? The entire process of creating a user name is outlined in the Slackware Linux Installation HOWTO, which is on the CD and DVD and
there is information on the procedure here,