I have question, what kind of businesses for slacker?

Please define? Do you mean the reward trait that you can purchase or just the general character of a sim? There are plenty of ways to make money just from home, but they all require work of some kind...the closest thing to slacker jobs you can give them are painting; minimal effort to paint something, make lots of money doing it. You can even purchase retail for it and make it an art gallery to sell your art for more money.

Okay.

The only passive income I know of would be to get the savvy trait from the Fabulously Wealthy aspiration. You earn 5% interest once a week on whatever funds you have available.

Or you could get the money tree

Or you could get the Professional Slacker reward trait. Then you can take any job and be lazy at work and still get paid and won’t get fired.