My coworker is trying to get me fired.?

Heres the jist of if, I had some issues with a coworker, about 10 in fact. I told my supervisor about them and she told me to talk to him about them directly. Heres the background, I work security, while I take my job serious he does not, among the issues were; I patrol while he does homework. I work the lobby in a military manner, he sits and does homework. I watch cameras and write reports, he does homework. On top of this he is fat, lazy, and messy. During the confrontation I talked about the lack of work and that he was doing too much homework, (up to 7 hours on a 8 hour shift) I talked about him making a mess in the office, (leaving chicken grease next to the computer, leaving trash and food in several places after I just disenfected and cleaned the office) I addressed the issue of him switching the igned schedule to fit in more homework. So heres how it went, I started with him not being alert causing potential danger for me and for him, I gave a couple examples of him not paying attention to his surroundings and getting hurt because he doesnt know whats going on around him (due to homework) and the fact that if something were happening outside that we wouldnt have to walk into a potentially dangerous situation if we were paying attention instead of doing homework. As soon as I told him about these things he started cussing me out, threating me, and making wild accusations as to why I would have these issues with him, after the discussion he wrote the supervisor saying that he was in fear for his life and no longer wanted to work with me. I know enough that to even make someone fear for thier life verbally is ault, I have children and this is my sole source of income, he has no kids and is also an accountant, I need my job more than he does and he knows what ons to push to get me fired instead of taking responsiblity for his own actions. It was not my intent to get him fired but to just get him to perform better, its not fair for me to get paid the same amount as someone that does not perform and even endagers those around him. I think that he blew this out of proportion to make me look like the bad guy taking attention away from the fact that hes not doing his job, I was just following orders and trying to do the right thing. He recently would not be in the same room as me, when I get to work he runs into other rooms and out the door or has someone walk him wherever he is going, I did nothing wrong and tried to be as proffessional as possible, now 5 days after the altercation I get pulled from the job, I have no hours and he is still there. How should I handle this situation? If I get fired because of his blowing this out of proportion (basically lying) is that slander?