Not an especially valuable comment from me here, but the fact that people who are probably very technically literate can ask this question makes me feel really rather old.
I remember explaining line-number based BASIC to a younger programmer once and he really couldn't get his head around the idea of GOTOs and GOSUBs based on line numbers -- "why wouldn't you just define functions?"
I remember the minor shock I experienced when writing programs without line numbers. I recall a couple of "good at programming whiz kids" never could make the transition and dropped the compsci major.
I escaped the "permanent brain damage" that Dijkstra complained about that era of BASIC producing, but I understand where he's coming from now and don't begrudge him the slight hyperbole. It was a language where there were so many accidental complexities that there was virtually no prayer of someone penetrating through to the essential issues, using Fred Brook's definitions of accidental/essential. You're not learning anything useful while you're manually renumbering lines because you used up everything between 15-20 and fixing up the GOTOs. (I never had anything with RENUM support.)