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What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?

Sagot :

MrRoyal

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

How to partition the line?

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]

Substitute known values

[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]

Evaluate the products

[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]

Evaluate the quotients

[tex](x,y) = (0.5,-2)[/tex]

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

Read more about line partitions at:

https://brainly.com/question/12959377

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