Answer:
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
[tex]A= (x_1,y_1)=(4,8)[/tex] and [tex]B= (x_2,y_2)=(14,10)[/tex]
let C partitioned the line AB by 1:3 let m:n = 1:3
shown in the figure attached
Formula used:
[tex]C= (\frac{n x_1 + m x_2 }{m+n},\frac{n y_1+ m y_2 }{m+n})[/tex]
putting value in formula we get,
[tex]C= (\frac{(4) (3)+ (14)(1) }{1+3},\frac{(8)(3)+ (10)(1)}{1+3})[/tex]
[tex]C= (\frac{(13 }{2},\frac{17}{2})[/tex]
[tex]C= (6.5 ,8.5)[/tex]
[tex]C= ( 6 1/2,8 1/2)[/tex]
therefore, A is the answer
