Point A is located at (4, 9) and point B is located at (12, −5) .
What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 1:3 ratio?
Enter your answer, as decimals, in the boxes.
(4, 9) (12, -5)
[ 4 + (1/4) ( 12 - 4), 9 + (1/4)(-5 - 9) ] = [ 4 + 8 /4 , 9 + -14/4] =
[ 4 + 2 , (36 - 14) /4 ] = [ 6, 22/4 ] = [ 6, 11/2 ] = ( 6, 5.5 )
+912 
