Question

One endpoint of a line segment is at (−4, −2). The line is bisected by placing the midpoint of the line segment at (3, 1). What are the coordinates of the other endpoint? (−4, −6) (−0.5, −0.5) (10, 4) (9, 5)

Answer 1

(10, 4)

Explanation:

The horizontal distance from (-4, -2) to the midpoint (3, 1) is 7, and the vertical distance is 3. To find the other end point of this line segment, add 7 to the x-coordinate of the midpoint: 3+7 = 10, and add 3 to the y-coordinate of the midpoint: 1 + 3 = 4. The coordinates of the other end of this segment are thus (10, 4) (the fourth possible answer choice).