Name PARTITION A DIRECTED LINE SEGMENT
1. Given G(-5,5) and H(4, -7), find the coordinates of p so that p partitions GH in the ratio 1:2.
Point P?

The coordinates of point P are (-2, 1)

Step-by-step explanation:

The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are

∵ P partitions segment GH in a ratio 1: 2

∴ P = (x, y)

∴ m = 1 and n = 2

∵ G = (-5, 5) and H = (4, -7)

∴ x1 = -5 and x2 = 4

∴ y1 = 5 and y2 = -7

→ Substitute them in the rule above to find x and y

∵ x = = =

∴ x = -2

∵ y = = =

∴ y = 1

∴ The coordinates of point P are (-2, 1)

a c

step-by-step explanation: