Carefully sand the edge of the plaster along the drywall joint to create a beveled edge about 2 inches wide. This creates space for the joint compound and tape. (The edges of the drywall are already beveled.)
Spray the edge of the plaster with water to prevent it from drawing moisture out of the joint compound.
Apply joint compound to the joint between the plaster and drywall with a 6-inch putty knife. Place drywall tape over the joint, then press it into the joint compound by running the putty knife over it. Allow the joint compound to dry overnight.
Sand the joint smooth with fine-grit sandpaper, and wipe it off with a tacking cloth to remove the dust.
Add another layer of joint compound and drywall tape, this time with a 12-inch putty knife. Allow it to dry overnight.
Sand the joint again, and wipe the dust off with a tacking cloth.
Apply a third layer of joint compound and drywall tape to the joint with the 12-inch putty knife, and allow it to dry overnight.
Sand the joint smooth, and wipe it off with a tacking cloth.