Homestead Firearms (dot com) has a breakdown history and specific model step guide you can use to determine exactly what specific model you have (12 A, B, C, D or E) as well as condition grading. Just scroll the page, select specifics and proceed through the steps.
If you can find any letters...
If you're talking about a slide for a 5" barrel, then yes. Looks like you have a full size (Government) frame for a 5" barrel. The actual slide length that'll contain the barrel will be about 7.5" long from end to end.
A 5" slide? It would be too short for that frame. A Commander size slide...