Coordinate geometry

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

• (2, 1)

• (5/3, 0)

• (5, 5)

• (23/3, 8)

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A = 2 and B = 8.

• P = 7

• P = 9

• P = -3

• P = 5

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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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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Choose the two points below that would partition the segment into lengths that have a 1:2 (or 2:1) ratio.

• (-1.5, -1)

• (4.5, 11)

• (-3, -4)

• (6, 14)

• (3, 8)

Given the points A(-3,-5) and B(5,0), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 2:3. 

• (0.5,-2.2)
• (0.2,-2.4)
• (1/5, -5/2)
• (0,-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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What is the value of used K to find the coordinates of a point that partitions a segment into a ratio of 2:7?

• k= 2/9

• k= 2/7

• k= 7/2

• NA

• -17

• -14

• -11

• -8

Find 1/4 of the way from the left point to the right point.

• (2.5, 2.5)

• ( - 0.5, 1.5)

• ( - 0.5, 2.5)

• (2.5, 1.5)