Hey, I was wondering if someone could help me sort out how to think about this:
Find the parametric equation of the line through p = (2, -5) and q = (-3, 1).
I have no problem seeing how the line is parallel to (q - p), but the key then gives p as the constant in the parametric equation without further comment, so if t is the parameter we have
M = p + (q-p)t
My question is, how exactly do we know to use p here? I feel like I'm missing something basic, any help would be greatly appreciated!