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.

(8, 10.6)