The tape is the most important aspect.
Without tape it will just crack again.
Has it been taped before?
Covering the tape without seeing the mesh, and not leaving a visible bump along the ceiling is very important too.
I don't know how experienced you are at this, but be warned - unless you know what you are doing you can easily make a pig's ear of this.
May also be worth checking there are sufficient screws screwed into the joists.
(If you're feeling lazy, just screw two long battens over the cracks and paint them. I didn't say that.)