Question

find the coordinates of the points of trisection of the line segment joining the points (3,-2) and (3,-4) ​

Answer 1

suppose the line AB has coordinates A and B with (3,-2) and (3,-4) respectively .

1. Divide the line in 3 parts as AP-PQ -QB for trisection . so AP=PQ=QR ....1
2. AP upon PB = AP upon PQ + QB
3. AP upon PB = AP upon AP + AP ... from 1
4. AP: PB = 1:2
5. so P dividespidilite segment a b in the ratio 1 is to 2
6. show by using section formula x =1(3)+2(3) upon 1+2= 3 .