What do you do if someone is slendering you name on Facebook?

If someone is posting untrue things about you on Facebook and is purposefully antagonizing you and/or turning others against you without cause, you can definitely report them. If you go to their profile and scroll down to the bottom, there should be a few options listed underneath their friends list, such as "Unfriend" and "Report/Block Person". Facebook will then look into the matter and the other person may be forced to delete their profile. Cyberbullying is in no way, shape, or form an okay thing to do and I'm sorry you are a victim of it. Good luck!