Question

The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.

Answer 1

Explanation:

let the coordinates of P be (x,y)

`x=(mx2+nx1)/(m+n) \\y=(my2+ny1)/(m+n) \\x=(2(5)+3(-3))/(2+3) \\x=(10-9)/(5) =(1)/(5) =0.2\\y=(2(0)+3(-4))/(2+3) \\y=(0-12)/(5) =(-12)/(5) =-2.4\\`

so coordinates of P are (0.2,-2.4)