The coordinates of the missing endpoint are A(x, y) = (1, 6).
<h3>What is the missing end of the line segment?</h3>
In this problem we know the locations of one end of the line segment and the midpoint and the location of the missing end has to be found by means of the vectorial form of the midpoint formula:
0.5 · A(x, y) + 0.5 · C(x, y) = B(x, y)
0.5 · A(x, y) = B(x, y) - 0.5 · C(x, y)
A(x, y) = 2 · B(x, y) - C(x, y)
If we know that B(x, y) = (- 2, 5) and C(x, y) = (- 5, 4), then the location of the missing end is:
A(x, y) = 2 · (- 2, 5) - (- 5, 4)
A(x, y) = (- 4, 10) + (5, - 4)
A(x, y) = (1, 6)
The coordinates of the missing endpoint are A(x, y) = (1, 6).
To learn more on midpoints: brainly.com/question/28224145
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