Point E is located at (−4, 5) and point F is located at (7, 2) .
What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 6:4 ratio?
Enter your answer, as decimals.
E is located at (−4, 5) and point F is located at (7, 2)
[ -4 + (6/10)(7 - -4), 5 + (6/10)(2 -5) ]
[ -4 + (6/10) (11) , 5 + (6/10)(-3) ]
[ -4 + (3/5)(11) , 5 + (3/5)(-3) ]
[ -4 + 33/5, 5 - 9/5 ]
[ -20/5 + 33/5 , 25/5 - 9/5 ]
[ 13/5 , 16/5 ]
[ 2.6 , 3.2]