Question

Point E is located at (−1, 6)
and point F is located at (3, 9)
.

What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 3:2 ratio?



Enter your answer, as decimals, by filling in the boxes.

Answer 1

Let E = (−1, 6) and F = (3, 9). If EP:PF = 3:2, P = E + (3/5)(F − E).

F − E = (4, 3), so P = (−1, 6) + (3/5)(4, 3) = (−1 + 12/5, 6 + 9/5) = (7/5, 39/5) = (1.4, 7.8).

Answer: (1.4, 7.8)