Question

find the coordinates of the point P dividing the line segment joining the points
A(1,3) and B(4,6) in the ratio 2:1..​

Answer 1

you have a ratio 2:1

compare it with m:n=2:1

m=2

n=1

use the formula

x=(m(x2)+n(x1))/(m+n)

x=(2(4)+1(1))/(3)

x=3

y=(m(y2)+n(y1))/(m+n)

y=(2(6)+1(3))/3

y=5

the answer would be

p(3,5)