Question

If P ( -1 , 7 ) and Q ( 4, -3 ) . point R divides the segment PQ in the ratio 2:3 then find the coordinates of point R.​

Answer 1

Answer:

We know that, the coordinates of the point dividing the line segment joining the points 

(x1,y1) and (x2,y2) in the ratio m:n is given by 

(m1+m21m1x2+m2x1,m1+m2m1y2+m2y1)

Given

 (x1,y1)=(−1,7); (x2,y2)

=(4,−3) (m1,m2)

=2:3

Coordinates of point of intersection of line segment is

(2+3(2)(4)+(3)(−1),2+3(2)(−3)+(3)(7))

=(5/5,15/5)

=(1,3)

Step-by-step explanation:

hope it helps you