Question

A directed segment ST¯¯¯¯¯ is partitioned from S (−5,0) to T in a 32 ratio at point M (10, 15). What are the coordinates of point T?

Answer 1

Point T = (4,9)

Explanation:

Given:

S (−5,0)

M (10, 15)

m1:m2 = 3:2

Find:

Point T

Computation:

X = [m1x2 + m2x1] / [m1+m2]

Y = [m1y2 + m2y1] / [m1+m2]

X = [(3)(10) + (2)(-5)] / [3+2]

Y = [(3)(15) + (2)(0)] / [3+2]

X = 20 / 5 = 4

Y = 45 / 5 = 9

Point T = (4,9)