Question

find the coordinate of the point which divides the join of (-1,7)and(4,-3) in the ratio (2:3).​

Answer 1

points are(x,y)=(1,3)

Using section formula,

m1 X2+ X1 m2 , m2 y1+ y2 m1

m1+m2. m1+m2

m1=2

m2=3

x1=-1. X2=4

y1=7 . y2=-3

.(x;y)=.(4×2+3×-1 , -3×2+3×7)

5. 5

=(8-3 , -6+21 )

5. 5

=(5. , 15. )

5. 5

=(1;3)

(x,y)=(1,3)