Question

The midpoint of AB is M(3,-4). If the coordinates of A are (1, -7), what are the coordinates of

B?
Answer Attempt 1 out of 2
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Answer 1

The coordinates of point B are (5, -1).

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, M, of two points A(x1, y1) and B(x2, y2) are given by:

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

Given that the coordinates of point A are (1, -7) and the midpoint M is (3, -4), we can substitute these values into the formula and solve for the coordinates of point B:

3 = ((1 + x2)/2) => x2 + 1 = 6 => x2 = 5

-4 = ((-7 + y2)/2) => -7 + y2 = -8 => y2 = -1

Therefore, the coordinates of point B are (5, -1).

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