By taking advantage of proportional line segments, we conclude that the coordinates of the point E inside the line segment CD is (1, 0). (Correct choice: C)
How to find the coordinates of a point within a line segment
In this question we have a line segment whose ends and partition ratio are known. Hence, the point E can be located in the line segment by applying the following equation:
E(x, y) = C(x, y) + r · [D(x, y) - C(x, y)]
Where r is the partition ratio.
If we know that C(x, y) = (- 1, - 3), D(x, y) = (5, 6) and r = 1/3, then the coordinates of the missing point is:
E(x, y) = (- 1, - 3) + (1/3) · [(5, 6) - (- 1, - 3)]
E(x, y) = (- 1, - 3) + (1/3) · (6, 9)
E(x, y) = (- 1, - 3) + (2, 3)
E(x, y) = (1, 0)
By taking advantage of proportional line segments, we conclude that the coordinates of the point E inside the line segment CD is (1, 0). (Correct choice: C)
To learn more on line segments: https://brainly.com/question/25727583
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