Clogged kitchen sink
Need more info, what size and type of snake? How badly is it clogged? Do you have a garbage disposal?
Off hand, I would remove the trap, snake the line as far as your snake will go, and then follow that up by flushing the pipe with a bladder such as a drain king. That usually does the trick for most of our units, but we're using a powered snake.
It's a kitchen sink drain, so odds are it's grease that's clogging it, if you still can't get it you might call around to see if a proper drain cleaner can jet the line.