Final answer:
To find the coordinates of point B, use the midpoint formula and substitute the given values. The coordinates of point B are (7, 6).
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula. The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the midpoint is M(6, 1) and the coordinates of A are (5,-4). Plugging these values into the formula, we get:
(6, 1) = ((5 + x2) / 2, (-4 + y2) / 2)
Simplifying the equation, we get:
12 = 5 + x2 and 2 = -4 + y2
Subtracting 5 from both sides of the first equation, we get x2 = 7. Subtracting -4 from both sides of the second equation, we get y2 = 6.
Therefore, the coordinates of point B are (7, 6).
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