Question

find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4)​ K(5,-3)​

Answer 1

The answer to this question is D

Answer 2

Explanation:

J (-1,4)​ ⇒ x₁ = -1 & y₁ = 4

K(5,-3)​ ⇒ x₂ = 5 ; y₂ = -3

m : n = 1/3 : 2/3 = 1 :2

`X \left((mx_(2)+nx_(1))/(m+n),(my_(2)+ny_(1))/(m+n) \right)\\\\\\X \left((1*5+2*(-1))/(1+2),(1*(-3)+2*4)/(1+2) \right) \\\\\\X \left((5-2)/(3),(-3+8)/(3) \right)\\\\\\X \left((3)/(3),(5)/(3) \right)\\\\\\X \left( 1 , (5)/(3) \right)`