The phrase "goes down the line" typically refers to a process or action that takes place in a specific order or sequence. Some antonyms for this phrase could include "skip the line," "random order," or "jump around." If one were to skip the line, they would be disregarding the predetermined order of events. Similarly, if something was done in a random order, there would be no specific sequence to follow. Lastly, if an action was performed in a "jump around" manner, it would mean that there was no particular order or logic to the process. These antonyms have an opposite meaning to the phrase "goes down the line," as they deviate from or ignore the predetermined order.