Question

The midpoint of AB is M(-3, 1). If

the coordinates of A are (1, 8), what
are the coordinates of B?
Answer

Answer 1

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 midpoint formula states that the coordinates of the midpoint M between two points A(x1, y1) and B(x2, y2) are given by:

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

In this case, the coordinates of A are (1, 8) and the coordinates of M are (-3, 1). Plugging these values into the midpoint formula:

(1 + x2) / 2 = -3 --> x2 = -7

(8 + y2) / 2 = 1 --> y2 = -6

So the coordinates of point B are (-7, -6).

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