Point A is located at (4, 1) and point B is located at (9, 13) .What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 4:1 ratio?Enter your answer as decimals in the boxes.( , )

If we partition the segment in a 4:1 ratio, that means we have 5 parts; 4 to the left of the partition, and 1 to the right. The segment goes from x = 4 to x= 9 which conveniently is a difference of 5. Now we can find the slope so that we can find the y value at x = 8.

Answer: (8, 10.6)