Question

find the coordinates of the point of intersection of the line segment joining (4,-1) and (-2,-3)​

Answer 1

Answer:

Step-by-step explanatiLet P and Q be the points of trisection of the

line joining the points A(4,1) & B(-2,-3).

Then, AP = PQ = QB

Now, P divides AB in the ratio 1:2 and Q divides AB in the ratio 2:1.

Therefore,

Coordinates of P = (  

3

(−7+4)

​  

,  

3

4−4

​  

)=(−1,0)

Coordinates of Q = (  3 (−14+2) , 3 8−2  )=(−4,2)

Hence, the two points of trisection are P(−1,0) and (−4,2).on: