What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

The answer is explained below

Step-by-step explanation:

The location of point A = (-5, -1) and point B = (4, 1).

To find the coordinate of the point that divides a line segment PQ with point P at and point Q at in the proportion a:b, we use the formula for the x and y coordinates:

P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:

Therefore the coordinate of P is (-11/4, -1/2)

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step-by-step explanation:

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