There are two versions of wine for Slackware: i486 and x86_64. If you're running Slackware 32-bit, you need to download and install the one under i486, not the one under x86_64. http://sourceforge.net/projects/wine/files/Slackware%20Packages/1.3.35/ There are two directories as you can see, one for i486 and the other for x86_64. I'm guessing you downloaded the wine version in x86_64.
