What are the coordinates of the point on the directed line segment from (-6, -3) to (5,8) that partitions the segment into a ratio of 6 to 5?

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Therefore, the coordinates of the required point are (0,3).

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step-by-step explanation: