The line should have a ball on the end of it. Where did the cable break?
This is a sketch of the cable. Ignore where it looks like the cable is in two parts. That's just how the microfiche is done.
The cable routes like this, you may have to peel ( carefully) back the rubber cover to see this on your own bike. :
And the end of the cable goes in here, as seen from the bottom:
(sorry that one's out of focus, it was a fast shot and an awkward angle. )