What are the coordinates of the point on the directed line segment from (1,-5) to(10, 1) that partitions the segment into a ratio of 1 to 5?
Coordinates =
[ 1 + (1/6)(10 - 1) , -5 + (1/6) ( 1 - - 5) ] =
[ 1 + 9/6 , -5 + 1 ] =
[ 1+ 3/2 , -4 ] =
( 5/2 , -4 )