Question

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

D(-7, 9) and E( 15, -2) in the ratio 4:7. 

Answer 1

Let the point P divides DE in the ratio 4:7. 

∴ cooordinates of P are 

x = `(4 xx 15 + 7 xx - 7)/(4 + 7) = 1`

y = `(4 xx -2 + 7 xx 9)/(4 + 7) = 5`