The coordinates of points L and M are L(x, y) = (- 1 / 3, 2) and M(x, y) = (4 / 3, 3).
How to find the coordinates of two points that partitions a line segment into three congruent segments
Herein we have a line segment generated by two points and we must find the coordinates of the points L and M such that the line segment KM is partioned into three segments of equal length:
L(x, y) = K(x, y) + r₁ · KN
L(x, y) = (- 2, 1) + (1 / 3) · (5, 3)
L(x, y) = (- 2, 1) + (5 / 3, 1)
L(x, y) = (- 1 / 3, 2)
M(x, y) = K(x, y) + r₂ · KN
M(x, y) = (- 2, 1) + (2 / 3) · (5, 3)
M(x, y) = (- 2, 1) + (10 / 3, 2)
M(x, y) = (4 / 3, 3)
The coordinates of points L and M are L(x, y) = (- 1 / 3, 2) and M(x, y) = (4 / 3, 3).
Remark
The statement presents a typing mistake, correct form is shown below:
Let K(x, y) = (- 2, 1) and N = (3, 4). Find coordinates for the two points, L and M, that divide segment KN into three congruent segments.
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