Answer:
(6, 1)
Step-by-step explanation:
The formula for dividing segment AB into parts in the ratio M:N is ...
P = (M·B +N·A)/(M+N)
Application
Using the above formula with the given values, we have ...
P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5
P = (6, 1)
The point P that divides segment AB into parts in the proportion 3:2 is ...
P = (6, 1)
