The midpoint of line segment AB is (3.5,1)
. Point A is at (2,6)
. Where is point B located?
Responses
To find the location of point B, we need to use the formula for the midpoint of a line segment, which is:
Midpoint = ( (x1 + x2)/2, (y1 + y2)/2 )
Given that the midpoint is (3.5, 1) and point A is (2, 6), we can set up two equations to solve for the x-coordinate and y-coordinate of point B:
((2 + x-coordinate of B)/2) = 3.5
((6 + y-coordinate of B)/2) = 1
Simplifying each equation, we have:
2 + x-coordinate of B = 7
6 + y-coordinate of B = 2
Solving for each coordinate, we find:
x-coordinate of B = 7 - 2 = 5
y-coordinate of B = 2 - 6 = -4
Therefore, point B is located at (5, -4).