When you dial 911 in an emergency, does the call route to the geographically nearest dispatch or to the one where your phone's area code is?

If I’m away from home, let’s say in another state, and I dial 911 in an emergency, where does the call go?

Let’s say I live in California and have a 408 area code on my cellphone. If I’m visiting New York, will a 911 call on my cellphone route to a dispatcher in New York or California?

What about if I’m just out of town, say in area code 415 (San Francisco) instead of 408 (South Bay)?