You follow the formulas to find the x and y of the dividing points.
Xp= x1+ a/a+b (x2-x1)
Xp= 10+5/5+3(-6-10)
Xp=10+5/8(-16)
Solve the problem above and you end up with “0” as your x.
Yp= y1+ a/a+b (y2-y1)
Yp= -2+ 5/8 (6+2)
Yp= -2+ 5/8 (8)
Solve this problem above and you end up with “3” as your y. Therefore, the point that divides the line segment between (10, -2) and (-6,6) into a ratio of 5:3 is (0, 3).
