Will a toothache that has my face swollen go away?

Not on its own: The two are probably linked, and would be better off having your problem treated before it progresses to a potentially serious condition. See your dentist who will discuss options with you and you can decide to remove the offending tooth or save it.

Nope: Sounds like you have an infection. Please call a dentist for treatment.

Yes, when: Yes, when the infected tooth is successfully treated. The facial swelling will go completely away shortly after If it does not, it suggests that the underlying infection is still present.