Question

The midpoint M of line segment AB has coordinates (4, 5). If point A is at (-11, 12), what are the coordinates of point B?

Answer 1

The coordinates of point B are (-3, 22).

Step-by-step explanation:

To find the coordinates of point B, we need to determine the x-coordinate and y-coordinate of B. We know that the midpoint of line segment AB is (4, 5) and point A is (-11, 12). To find the x-coordinate of B, we add the x-coordinate of A to twice the x-coordinate of the midpoint. So the x-coordinate of B is -11 + 2(4) = -3.

To find the y-coordinate of B, we add the y-coordinate of A to twice the y-coordinate of the midpoint. So the y-coordinate of B is 12 + 2(5) = 22. Therefore, the coordinates of point B are (-3, 22).