(Q23) Find the coordinates of the point which divides the line segment joining the points (-1,7) and(4,-3) in the ratio 2:3.

Answer

Given points P(1,-7) and Q(4,-3) Let 'R' be the required point which divides

PQ in the ratio 2:3. Then

R(x,y)= (
m1x2+m2x1
m1+m2
 ,
m1y2+m2+y1
m1+m2
)
= (
2×+3×(-)
2+3
 ,
2×(-)+3×
2+3
)
= (
5
 ,
5
) =(,)

R(x,y)=(,)