Question

The midpoint of AB is M(-2, 5). If the coordinates of A are (1, 7), what are the coordinates of B?

Answer 1

(-5, 3)

Explanation:

The midpoint formula:
`((x_1 + x_2)/(2) , (y_1 + y_2)/(2))`

Now, if we work backwards, starting with the x-coordinate

-2 * 2 = -4 - 1 = -5

Then, the y-coordinate

5 * 2 = 10 - 7 = 3

We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.