Question

Find the coordinates of point P which divides the line joining A(4,−5) and B(6,3) in the ratio 2:5.​

Answer 1

LET THE COORDINATES OF P BE (x,y)

given m:n=2:5

(x1,y1)=(4,-5) and (x2,y2)=(6,3)

by section formula,

x=mx2+nx1=2(6)+5(4)=12+20=32

      m+n          2+5        =7         =7

y=my2+my1=2(3)+5(-5)=6-25=-19

      m+n            2+5        =7      =7

coordinates of p=(32,-19)

                                 7    7