Question

A line segment has endpoints at (2, -9) and (2, 7).

The point that partitions the segment in a ratio of 3:1 is located at (2, ?)
The point that partitions the segment in a ratio of 1:3 is located at (? , -5)

Answer 1

Explanation:

The point that partitions the segment in a ratio of 3:1 is located at :

Y = -9 + [¾ × (7-(-9)]

= -9 + (¾ × 16)

= -9 + 12

= 3

the coordinates are (2, 3)

The point that partitions the segment in a ratio of 1:3 is located at :

X = 2 + [¼×(2-2)]

= 2 + (¼×0)

= 2+0

= 2

the coordinates are (2, -5)