Falling Down - S4-E2
Continuity mistake: At the end of the episode, when Pacey is telling Joey about his school problems; her hair changes dramatically between shots. Just as she says, "Whatever it takes, we're gonna fix it", her hair is blown back off her right shoulder, away from her face with only the hair ends resting on her shoulder. The next shot of Joey, as she says, "I'm not going anywhere without you", her hair is suddenly down in front of her right shoulder, and close to her face again. When Pacey asks her, "Joey?" and she replies, "Yeah?", her hair is still fully down by her face on the right side, in front of her right shoulder. But then the next shot of Joey when she says, "I'm not that much smarter, Pace", her hair is suddenly swept far back off her right shoulder, away from her face with the hair ends resting on her shoulder again. It looks like they filmed this scene two different ways, and edited it together.
Answer: It's the same apartment Joey had in NYC. Comparing it to the beginning of the Finale; you can tell it's exactly the same location, furnishings, Plasma TV etc. Apparently Chris was only living with her at HER apartment, and now Pacey has taken his place at the end. I guess this implies Pacey successfully started his own restaurant business in NYC as he had dreamed, to be with Joey.