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## Given the points J(-4,0) and K(0, 4), find the coordinates of the point P on directed line segment JK that partitions segment JK in th

Question

Given the points J(-4,0) and K(0, 4), find the coordinates of the point P on directed

line segment JK that partitions segment JK in the ratio 3:1

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Mathematics
6 months
2021-08-25T11:57:11+00:00
2021-08-25T11:57:11+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:We are given a ratio for this problem so we will use the formula for when we are given a ratio (as opposed to the formula for when you are given that the point you’re looking for is a fraction of the way from one point to another, like 1/3 of the way from point A to point B. That’s a different formula).

The formulas are for the x and y coordinates of the point in question:

and where

a = 3 (from the ratio),

b = 1 (from the ratio),

x1 = -4, y1 = 0 (from point J)

x2 = 0, y2 = 4 (from point K). Filling in for x first:

gives us

and now for y:

gives us

Therefore, the coordinates that partition that segment into the ratio of 3:1 are (-1, 3)