The midpoint of line segment AB is (3, -1). Point A is at (2, 4). Where is point B located?

Question

Responses

(4, -6)
(4, -6)

(5, -4)
(5, -4)

(-2, 5)
(-2, 5)

(5/2,3/2)

Answer 1

To find the location of point B, we need to consider the coordinates of point A and the midpoint of the line segment AB.

The x-coordinate of the midpoint is given as 3, and we know that it is the average of the x-coordinates of points A and B. Therefore, the x-coordinate of point B is 2 times the x-coordinate of the midpoint minus the x-coordinate of point A, which is:

2 * 3 - 2 = 6 - 2 = 4

Similarly, the y-coordinate of the midpoint is given as -1, and we know that it is the average of the y-coordinates of points A and B. Therefore, the y-coordinate of point B is 2 times the y-coordinate of the midpoint minus the y-coordinate of point A, which is:

2 * (-1) - 4 = -2 - 4 = -6

Therefore, point B is located at (4, -6).

The correct response is:

(4, -6)