Point a is located at (4, 8) and point b is located at (14, 10) . what point partitions the directed line segment ab¯¯¯¯¯ into a 1: 3 ratio?   (6 1/2, 8 1/2)(11 1/2, 9 1/2)  (6, 6)   (9, 9)

A is the answer or (6 1/2, 8 1/2)  or (13/2, 17/2) or (6.5,8.5)

Step-by-step explanation:

Given : A line segment AB with

and

let C partitioned the line AB by 1:3  let m:n = 1:3

shown in the figure attached

Formula used:

putting value in formula we get,

therefore, A is the answer