Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it. For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically. Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

mhanifa mhanifa · Answer 2 · 2021-10-20T15:17:41+02:00

mhanifa mhanifa

20-10-2021

Answer:

P(1, 3)

Step-by-step explanation:

Coordinates of A and B:

A(-1, 4), B(5, 1)

The partition ratio:

AP/PB = 1/2

Coordinates of P are:

x = -1 + 1/3(5 - (-1)) = -1 + 6/3 = 1
y = 4 + 1/3(1 - 4) = 4 - 3/3 = 3

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Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!​

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Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!