Question

Find the coordinates of the point of trisection of the line segment joining the points A(2,3) and B(-7,4).​

Answer 1

Step-by-step explanation:

Given:- A(2,−2) and B(−7,4)

For point of trisection, AB is divided into 3 equal parts.

Let the two trisection points are P(x,y) and Q(c,d).

Hence P divides AB in ratio 1:2 and Q divides AB in ratio 2:1.

By section formula:

x=

m+n

mx

2

+nx

1

and y=

m+n

my

2

+ny

1

x=

3

4−7

=−1 and y=

3

4−4

=0

So,P(x,y)=(−1,0).

Again by section formula:

c=

3

−14+2

=−4 and d=

3

8−2

=2

So, Q(c,d)=(−4,2).