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What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of the line segment from A to B? x = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 (1, 5) (0, 3) (–4, –5) (–5, –7).

Respuesta :

The x and y coordinates of the line segment are (-5, -7).

The correct option is D.

Section formula;

The section formula helps to determine the coordinates of a point that facilitates the division of the line that joins two points in a ratio.

Given

On a coordinate plane, a line is drawn from point A to point B.

Point A is at (negative 8, negative 13) and point B is at (4, 11).

The formula is used to calculate coordinates of a point is;

[tex]\rm y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\x==\dfrac{m}{m+n}(x_2-x_1)+x_1\\[/tex]

Substitute all the values in the formula

[tex]\rm y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\ y=\dfrac{1}{1+3}(11-(-13))+(-13)\\\\y=\dfrac{1}{4}(24)-13\\\\y=6-13\\\\y=-7\\\\x=\dfrac{1}{1+3}(4-(-8)+(-8)\\\\x=\dfrac{1}{4}(12)-8\\\\x=3-8\\\\x=-5[/tex]

Hence, the x and y coordinates of the line segment are (-5, -7).

To know more about the section formula click the link given below.

brainly.com/question/13905578

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