Question

The coordinates of the midpoint of line segment AB are (-2, 4). If the coordinates of point A are (7, 10), find the coordinates of point B.

a. (11, 6)
b. (2, 4)
c. (1, 2)
d. (-4, 0)

Answer 1

To find the coordinates of point B, we can use the midpoint formula which states that the coordinates of the midpoint of a line segment are the average of the coordinates of the two endpoints. Substituting the given coordinates, we find that the coordinates of point B are (-11, -2).

Step-by-step explanation:

To find the coordinates of point B, we need to use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the two endpoints.

In this case, the coordinates of point A are (7, 10) and the coordinates of the midpoint are (-2, 4). So, we can use the following formula to find the coordinates of point B:

B = 2M - A, where M is the midpoint and A is point A.

Substituting the given values, we get:

B = 2(-2, 4) - (7, 10)

B = (-4, 8) - (7, 10)

B = (-4 - 7, 8 - 10)

B = (-11, -2)

Therefore, the coordinates of point B are (-11, -2).