Question

What are the coordinates of the point on the directed line segment from (-1, -1) to

Answer 1

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:

$(x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})$

Substitute known values

$(x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})$

Evaluate the products

$(x,y) = (\frac{2}{4},\frac{-8}{4})$

Evaluate the quotients

$(x,y) = (0.5,-2)$

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

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