This is pretty much it. Scan lines are numbered from the top down, as they happen, everything else is numbered accordingly.
The real question is why scan top down and not bottom up? (I don't have any idea). Horizontal scan lines makes sense given a wider than tall screen, because it results in fewer scan lines, lowering the frequencies required ( a bit). Wider than tall makes sense for TV given common movie film aspect ratios and computer monitors started as TVs with different control circuits and cases.