Unfortunately, to my knowledge, there is no way to delete the account, at least there wasn't a few years ago when I tried. That's what bothers me. Any enterprising hacker could locate my account and send out posts in my name.
I shut mine down when my liberal sisters kept posting utter lunacy that ended up on my page.
Yes, you can delete the account but, more importantly, you can “defriend” the people who annoy you, and they won’t know it.
Only accept “friend” requests from people you actually know. Facebook is a great tool when used responsibly but can easily be misused like anything else.
Great way to keep in touch with family and friends who live far away.