The midpoint of line segment AB is (3, - 1). Point A is at (2, 4). Where is point B located?
A. (5/2, 3/2)
B. (-2, 5)
C. (5, -4)
D. (4,-6)
Let's use the midpoint formula to find the x-coordinate of point B:
Midpoint x-coordinate = (x1 + x2) / 2
3 = (2 + x) / 2
Multiply both sides by 2 to eliminate the fraction:
6 = 2 + x
Subtract 2 from both sides:
4 = x
Now let's find the y-coordinate of point B:
Midpoint y-coordinate = (y1 + y2) / 2
-1 = (4 + y) / 2
Multiply both sides by 2 to eliminate the fraction:
-2 = 4 + y
Subtract 4 from both sides:
-6 = y
So point B is located at (4, -6).
The correct answer is D. (4,-6)