What are the coordinates of the point on the directed line segment from (-6, -1)(−6,−1) to (6, -9)(6,−9) that partitions the segment into a ratio of 3 to 1?

Given:

A segments is from (−6,−1) to (6, -9).

A point divides the line segment into a ratio of 3 to 1.

To find:

The coordinates of the points.

Solution:

Section formula: If a point divides a line segment in m:n, then

The point divides the line segment in 3:1, so by using section formula, we get

Therefore, the coordinates of the required point are (3,-7).

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