You mean this ?
If yes Just Edit / Show Points / select your points kill wished and press key Delete or the Red X bottom screen on the left...

Hi Frenchy, thanks for the reply.

Yes exactly like that!

I've just worked out what I was doing wrong: I had to deselect the line before reselecting the point to be deleted. Newbie mistake to the max. I was showing points on the line, and directly clicking on the point to be deleted. While that point displays as the only one selected, the whole line is still actively selected, so it all gets deleted.

Thanks again for the help.

-T

No problem!
Have fun discovery!

Thanks!:)