Question

The midpoint of AB is M(1, 2). If the coordinates of A are (8,-4), what are the coordinates

of B?
Answer Attempt 1 out of 2
Submit Answer

Answer 1

To find the coordinates of point B, we can use the midpoint formula. The coordinates of point A are (8, -4) and the coordinates of the midpoint M are (1, 2). Using the midpoint formula, we can find the x-coordinate of point B as -6 and the y-coordinate as 8.

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 a line segment with endpoints (x1, y1) and (x2, y2) are given by the formulas:

x-coordinate of M = (x1 + x2) / 2

y-coordinate of M = (y1 + y2) / 2

In this case, the coordinates of point A are (8, -4) and the coordinates of the midpoint M are (1, 2).

Using the midpoint formula, we can find the x-coordinate of point B as follows:

1 = (8 + x2) / 2

2 = (-4 + y2) / 2

Multiplying both sides of the first equation by 2, we get:

2 = 8 + x2

Subtracting 8 from both sides, we have:

x2 = -6

Similarly, for the second equation:

4 = -4 + y2

Adding 4 to both sides, we get:

y2 = 8

Therefore, the coordinates of point B are (-6, 8).

Learn more about coordinates