Problem

What are the coordinates of the point on the directed line segment from \( (-8,6) \) to \( (-3,-4) \) that partitions the segment into a ratio of 2 to 3 ?

Answer

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Answer

x = (2(-3) + 3(-8)) / (2 + 3), y = (2(-4) + 3(6)) / (2 + 3)

Steps

Step 1 ：Let the point be P(x, y) and use the section formula.

Step 2 ：x = (mx2 + nx1) / (m + n), y = (my2 + ny1) / (m + n)

Step 3 ：x = (2(-3) + 3(-8)) / (2 + 3), y = (2(-4) + 3(6)) / (2 + 3)

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