Point E is located at (-1, 6) and point F is located at (3, 9). What are the coordinates of the points that partitions the directed line segment EF in a 3:2 ratio?
We have 5 equal segments on EF ...and we are looking for the point that is 3/5 of the way between E and F in that directon
So we have
( -1 + (3 - (-1) )(3/5) , 6 + (9 - 6)(3/5) ) =
(-1 + (4)(3/5) , 6 + (3)(3/5) ) =
(-1 + 12/5 , 6 + 9/5 )
(7/5, 39/5)
