Question

Find the coordinates of a point that divides the directed line segment PQ in the ratio

5:3.
A) (4,5)
B) (-6, 6)
C) (2, 2)
D) (4,1)

Answer 1

C

Explanation:

Let the coordinates be (m, n) then by using the section formula we have

m=(5*8+3*(-8))/(5+3)=2

n=(5*(-1)+3*(7))/(5+3)=2

The point is (2,2)