Question

Find the coordinates of point which divides the joint of (-1,7) and (4,-3) in the ratio 2:3

Answer 1

A(-1,7) ⇒ x₁=-1  y₁=7
B(4,-3) ⇒ x₂=4   y₂=-3
m:n=2:3
x=(nx₁+mx₂)/(m+n)
  =3*-1+2*4/5
  =-3+8/5
  =1
y=3*7+2*-3/5
  =21-6/5
  =3
The point is (1,3)