Question
The midpoint of line segment AB is (3, -1). Point A is at (2, 4). Where is point B located?
Answers
GPT 3.5
Let's use the midpoint formula to find the coordinates of point B. The midpoint formula is
midpoint = ( (x1 + x2)/2 , (y1 + y2)/2 )
Using this formula, we can solve for the x and y coordinates of point B.
The x-coordinate of the midpoint is 3.
The x-coordinate of point A is 2.
So, (2 + x-coordinate of B)/2 = 3
2 + x-coordinate of B = 6
x-coordinate of B = 6 - 2
x-coordinate of B = 4
The y-coordinate of the midpoint is -1.
The y-coordinate of point A is 4.
So, (4 + y-coordinate of B)/2 = -1
4 + y-coordinate of B = -2
y-coordinate of B = -2 - 4
y-coordinate of B = -6
Therefore, point B is located at coordinates (4, -6).
midpoint = ( (x1 + x2)/2 , (y1 + y2)/2 )
Using this formula, we can solve for the x and y coordinates of point B.
The x-coordinate of the midpoint is 3.
The x-coordinate of point A is 2.
So, (2 + x-coordinate of B)/2 = 3
2 + x-coordinate of B = 6
x-coordinate of B = 6 - 2
x-coordinate of B = 4
The y-coordinate of the midpoint is -1.
The y-coordinate of point A is 4.
So, (4 + y-coordinate of B)/2 = -1
4 + y-coordinate of B = -2
y-coordinate of B = -2 - 4
y-coordinate of B = -6
Therefore, point B is located at coordinates (4, -6).