Question

Point A is located at (5, 6) and point B is located at (8, −2) .

What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 1:3 ratio?



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( , )

Answer 1

Use the section formula: point = A + (1/(1+3))(B − A) = (5,6) + 1/4(3, −8) = (5 + 3/4, 6 − 2) = (23/4, 4).

(23/4, 4)