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The midpoint of AB is M(-4, 0). If the coordinates of A are (-2,-6), what are the
coordinates of B?

Answer 1

The coordinates of point B are (-6, 6).

Step-by-step explanation:

To find the coordinates of point B, we need to use the midpoint formula. The midpoint formula states that if the coordinates of point A are (x1, y1) and the coordinates of point B are (x2, y2), then the coordinates of the midpoint M are given by:

x = (x1 + x2)/2

y = (y1 + y2)/2

In this case, we are given the coordinates of point A as (-2, -6) and the coordinates of the midpoint M as (-4, 0). Plugging these values into the formulas, we can solve for the coordinates of point B:

x2 = 2x - x1

y2 = 2y - y1

So, substituting the known values:

x2 = 2(-4) - (-2) = -8 + 2 = -6

y2 = 2(0) - (-6) = 0 + 6 = 6

Therefore, the coordinates of point B are (-6, 6).

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