The endpoints of AB¯¯¯¯¯¯¯¯ are −16 and −4. Find the coordinate of the point P that partitions the segment in the ratio 2 : 1. The coordinate of point P is

Answer 1

Since you gave 1 point; there's a line with no direction. I can't give you anather point.

Answer 2

A is at -16

B is at -4

P must be at a place where the distance between A and P is twice the distance between the distance from P to B.

This is also where P is 2/3rds the distance from A to B

The total distance is |-16 - (-4)| = 12

2/3 of 12 is 8

So P is 8 from A

-16 + 8 = -8

P is at -8

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.