Question

Find the coordinate of a point P which divides the line segment joining :

A(-8, -5) and B (7, 10) in the ratio 2:3. 

Answer 1

Let the point P divides the line segment AB in the ratio 2:3. 

∴ coordinates of P are 

x = `(2 xx 7 + 3 xx - 8)/(2 + 3) = -2`

y = `(2 xx 10 + 3 xx -5)/(2 + 3) = 1`