Step-by-step explanation:
To divide a directed segment, we need to divide the length of the segment, along the x and the y directions separately. Then add the subdivided segment to the starting point of the directed segment (-3,6) to get the point of division.
Let the length be denoted by delta, then
delta = (7,1) - (-3,6) = (10,-5)
Multiply delta by the ratio of 3 / (3+1) = 3/4
(10,-5) * 3/4 = (7.5, -3.75)
Add the subdivided segment to the starting point:
(-3,6) + (7.5, -3.75) = (4.5, 2.25)
So the point of division is (4.5, 2.25)
