Question

Point M is the midpoint of AB. The coordinates of point A are (-6, 2) and the coordinates of M are (-4, 2).

What are the coordinates of point B?
The coordinates of point B are

Answer 1

B (-2, 2)

Explanation:

The midpoint equation is:

`x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2}`

`y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2}`

Then:

`x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2}`

`y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}`

`x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2`

`y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2`