Question

calculate the coordinates of the point B if P(-1,-2) divides the join of A(-3,3) and B internally in the ratio of 2:3

Answer 1

let point B (x, y)
A-------------p----------B

use section formula
-1={2x+(-3) x3}/(2+3)
-5=2x-9
x=2

-2={2y+3 x 3}/(2+3)
-10=2y+9
y=-19/2
hence B (2,-19/2)