Not easy to tell where it is broken in the pics.
Is it the hard line that is broken?
If so then just go to your local auto parts store, and get some soft rubber EVAP Hose, be sure the ID (inner diameter) is the same size as the OD (outer diameter) of the broken hard line, then use the soft rubber EVAP hose to connect the hard lines together.
The soft rubber connectors dry rot after time, so if they need replacing you may want to get the connectors while you are there, they are pretty cheap, and easy to find.
If possible I'd like to see a better pic of where the line is actually broken.
Because on my car the line comes from the break booster, runs into the wire loom, them after a little ways it hits a hard T and goes into the firewall area to connect to the vacuum source for the AC programmer as Mike mentioned, the other part of it should run all the way up front, around the batter, then under the front of the bumper area, underneath it anyway, then it makes its way to the vac canister underneath the PCM.
Pretty sure that is how it runs anyway, been a bit since I redid my soft rubber connectors..
2006 Pontiac Grand Prix GT with SC
1996 Buick Park Ave NA