The midpoint of segment AB has the coordinates M(-4,2). If the coordinates of endpoint A are (-6, -7), find the coordinates of endpoint B.

Given:

The midpoint of segment AB has the coordinates M(-4,2).

The coordinates of endpoint A are (-6, -7).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Formula for midpoint:

The midpoint of segment AB has the coordinates M(-4,2), so by using the above formula we get

On comparing both sides, we get

And,

Therefore, the coordinates of point B are (-2,11).

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