Find the point, M. that divides segment AB into a ratio of 2:1 if A is at (-1, 2) and B is at (8, 15).A) (6.8)B) (6. 26/3) C) (5. 32/3) D) (5, 26/3)

Question

asked Mar 1, 2023 132k views

1 Answer

Ergis · Answer 1 · 2023-03-07T07:03:33+0000

To answer this question we will use the following formula for the point that divides a segment with endpoints (x,y) and (z,k) into a ratio a:b:

$((bx+az)/(a+b),(by+ak)/(a+b))\text{.}$

Substituting b=1, a=2, (x,y)=(-1,2) and (z,k)=(8,15) in the above formula we get:

simplifying the above result we get:

$((15)/(3),(32)/(3))=(5,(32)/(3))\text{.}$

Answer:

(5, 32/3).