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What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?

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Answer:

Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)

For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).

For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1

So the coordinate of the point is (-2,6)

Step-by-step explanation:

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