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). 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)

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06-05-2022
Mathematics

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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). 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)

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raphealnwobi raphealnwobi · Answer 1 · 2022-05-09T12:35:11+02:00

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Point a is at (-8, -13) and point b is at (4, 11). Hence the coordinates for point p(x, y) which is one-third the length of the line segment from a to b is:

[tex]x=\frac{1}{3}(4-(-8))+(-8)=-4\\ \\y=\frac{1}{3}(11-(-13))+(-13)=-5[/tex]

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

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