Question

Find the coordinates of point P, so that P partitions the directed segment TD in the ratio 5:1, if T(2,1) and D(8,7)

A. (6,7)
B. (7,6)
C. (3,5)
D. (5,4)

Answer 1

B. (7,6)

Explanation:

With points T(2,1) and D(8,7) and ratio 5:1 we can compute:

• rise: y2 - y1 = 7 - 1 = 6

• run: x2 - x1 = 8 - 2 = 6

• c = 5/(5+1) = 5/6

The coordinates of the point that partition segment TD in the ratio 5:1 are

(x1 + c*run, y1 + c*rise)

(2 + 5/6*6, 1 + 5/6*6)

(7, 6)