Highway shoulder. Also, an oxymoron - the last place you want to break down in greater Boston is in the breakdown lane, especially during rush hour, when it becomes the high-speed lane (in some places, even legally). The state has built a series of emergency turn-outs along Rte. 128 so you can pull out of the breakdown lane if, in fact, your car breaks down.

Someone people turn to when they're sad who makes them feel better.

same as heartbreak lane.
a state you are in when a relationship ends or when you 'breakdown' and can't take something anymore