Question

If M(-2,5) is the midpoint of AB and the coordinates of A are (4,7), what are the coordinates of B?

A. (1,6)
B. (2, 12)
C. (8,-6)
D. (-8,3)

Answer 1

The coordinates of point B are (-8, 3).

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

M = ((x1 + x2)/2, (y1 + y2)/2)

Substituting the given values:

(-2, 5) = ((4 + x2)/2, (7 + y2)/2)

Simplifying the equation:

-2 = (4 + x2)/2 --> x2 = -8

5 = (7 + y2)/2 --> y2 = 3

Therefore, the coordinates of point B are (-8, 3), so the correct answer is D. (-8,3).

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