The coordinates of the point T(x, y) which lies in the <em>line</em> segment formed by points D(x, y) = (1, 4) and F(x, y) = (7, 1) and with a ratio of 3 : 1 is equal to the point (11/2, 7/4).
<h3>How to determine the location of the point in a line segment</h3>
Vectorially speaking, the coordinates of the point within a <em>line</em> segment with ends D(x, y) = (1, 4) and F(x, y) = (7, 1) is determined by the following <em>vector</em> sum:
T(x, y) = D(x, y) + k · [F(x, y) - D(x, y)] (1)
Where k is the <em>partition</em> ratio.
T(x, y) = (1, 4) + (3/4) · [(7, 1) - (1, 4)]
T(x, y) = (1, 4) + (3/4) · (6, -3)
T(x, y) = (1, 4) + (9/2, -9/4)
T(x, y) = (11/2, 7/4)
The coordinates of the point T(x, y) which lies in the <em>line</em> segment formed by points D(x, y) = (1, 4) and F(x, y) = (7, 1) and with a ratio of 3 : 1 is equal to the point (11/2, 7/4).
To learn more on partitions in line segments: brainly.com/question/3148758
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