Applying coordinates to different geometrical scenarios

Find the point that is 2/3 of the distance from J to K.

• (-1, -2)
• (1, 1)

Directed line segment AB is partitioned by point P into a ratio of 1:2. Which of the following represent this relationship?

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Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

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Find the point that is 3/4 of the distance from Y to X.

• (-6, -2)

• (2, -4)

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

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Given the points A = -2 and B = 7, find point P on directed line segment AB that partitions AB in a the ratio 1:2.

• P = 3

• P = 4

• P = 1

• P = 0

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

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Given the the points R(6,-2) and T(-9,-7), find the coordinates of point S on line RT such that RS to ST is 3:2.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

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Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

• (12, 1.6)
• (-1, 7.6)
• (-1, 6.6)
• (13, 1.6)