if you are given two points and the slope formula of m=(y1-y2)/(x1-x2), does it matter which point is (x1, y1) and which point is (x2, y2)?

No...

(6, 8) and (10, 4)

m = (8 -4)/(6-10) = 4/-4 = -1

m = (4-8)/(10-6) = -4/4 = -1