I came up with the perfect name for my bar, and when I was trying to register the domain name for the website, I discovered that a Beer is using my name for their slogan, word for word, and it has TM for trademark at the end. I dont want the Slogan, I want to name my bar this, is that legal? Forgive me for being secretive and not giving the name, just being careful.

The above answer from "Me" was correct in some ways, but there is never a fully "Black & White" answer in trademarks and you shouldn't rule out anything yet. The Sony example applied because Sony enjoys a special status of "Well-Known Trademark" meaning even having the surname of Sony doesn't mean you can use it for a business. This does not necessarily apply in this case and I cannot be sure without knowing the actual names.

Obviously, because you are in the bar business the slogan of the beer might be a problem, even if it does not enjoy "Well-known" status. If you really are concerned about doing things on the up-and-up and don't want any heavy legal fees you might consider contacting the brewer and trying for an agreement where their brand is a featured brand of the bar in return for using the part of the slogan you want.