@cjdailey,
That is the brine line to the "salt" tank. On an Autotrol 155 the brine line goes from the air check assembly (clear housing on right side of valve) to the float assembly in the salt/brine tank. The mineral tank is what the valve is sitting on top of. This is what hold the "media" which softens the water. If that line is leaking, bypass the softener, run it through a manual cycle, take the brine line off and take it to a water treatment dealer for new line. You may be able to use the old fittings.
RM