Is "pay a visit to" just a more formal and emphatic way of saying "visit"?
- Tomorrow I will visit my parents.
- Tomorrow I will pay a visit to my parents.
Is "pay a visit to" just a more formal and emphatic way of saying "visit"?
The word pay in "pay a visit" can imply some kind of urgency, need, obligation, or recompense.
I just chipped my tooth on something hard in that salad, it might have been a piece of walnut shell. I'm going to have to pay the dentist a visit.
If those bullies have been stealing your lunch money, we're going to have to pay the principal a visit.
After three pints of beer, I really have to pay the restroom a visit.
You've been away for more than a year. Even though you're here only for the weekend, you should really take the time to drive out and pay granddad a visit.
Hey, Tony. The New York family has been muscling in on our territory. What say we pay them a little visit?
In terms of being "formal", I'd actually say "visit" sounds more formal than "pay a visit to". At the very least the former is more proper English, while the latter is more of a turn of phrase.
As for "emphatic", the definition according to Google is "showing or giving emphasis; expressing something forcibly and clearly". From that, I'd say that neither phrase is more emphatic than the other.