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?

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The 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.

Thus, we have;

and

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula,

Substituting the values, we get;

Thus, the x - coordinate of the point P is

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

Substituting the values, we get;

Thus, the y - coordinate of the point P is

Therefore, the coordinates of the point P is

Hence, Option C is the correct answer.

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step-by-step explanation:

is should be y = 5x

step-by-step explanation:

correct me if im wrong