Partitioning means to find the dividing point between two points. This is done by prorating the difference in x- and y-coordinates, and adding to the first.
We will take the first point (from A to B) as A(16,8). The difference is B-A, i.e. (1,3)-(16,8) = (-15,-5) 2/5 of the difference is (2/5)*(-15,-5) = (-6,-2) Add the difference to the first coordinates (point A) gives Point of division = (16,8)+(-6,-2) = (16-6, 8-2) = (10,6)
