The coordinates of the point R are R(x, y) = (1 / 3) · P(x, y) + (2 / 3) · Q(x, y).
Let be P(x, y) and Q(x, y) the coordinates of the ends of the line segment PQ and R(x, y) the coordinates of the point within the line segment such that the point is 2 / 3 of the way from P to Q. Then, the coordinates of the point R is described by means of the vector form of the line segment formula:
R(x, y) = P(x, y) + (2 / 3) · [Q(x, y) - P(x, y)] (1)
R(x, y) = (1 / 3) · P(x, y) + (2 / 3) · Q(x, y)
The coordinates of the point R are R(x, y) = (1 / 3) · P(x, y) + (2 / 3) · Q(x, y).
To learn more on partitions in line segments: https://brainly.com/question/3148758
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