Are you asking about the engine end or firewall end? It is slack piece of tube though, and it goes on the left/driver side of the water control valve into a tube that ends up near the thermostat.
Wrong car but I hope these pics help somewhat.
Replacing the 03 M45 engine and I was just taking pictures as I went.
The layout didn't change much in the VK45DE sedans. Even the 06 M45 was set up the same way, and here's a pic.
This skinny tube
If you check in the CO/ cooling section of the FSM, these pictures should make more sense.