The coordinates of the point B are B(x, y) = (8, 10).
Herein we find the coordinates of one of the ends of the line segment and its midpoint, the coordinates of the missing end are found by the midpoint formula:
M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)
0.5 · B(x, y) = M(x, y) - 0.5 · A(x, y)
B(x, y) = 2 · M(x, y) - A(x, y)
If we know that M(x, y) = (6, 8) and A(x, y) = (4, 6), then the coordinates of the point B are:
B(x, y) = 2 · (6, 8) - (4, 6)
B(x, y) = (12, 16) - (4, 6)
B(x, y) = (8, 10)
The coordinates of the point B are B(x, y) = (8, 10).
To learn more on midpoints: https://brainly.com/question/28224145
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