Some coordinate geometry questions may require you to find the midpoint of line segments in the
coordinate plane. To find a point that is halfway between two given points, get
the average of the x-values and the average of the y-values.
The midpoint between the two points (x1,y1) and (x2,y2) is
For example:
The midpoint of the points A(1,4)
and B(5,6) is
Example:
Find the midpoint of the two points A(1, -3) and B(4, 5).
Solution:
Midpoint = = (2.5, 1)
Example:
M(3, 8) is the midpoint of the line AB. A has the coordinates (-2, 3), Find the coordinates of B.
Solution:
Let the coordinates of B be (x, y)
Coordinates of B = (8, 13)
The following video gives another example of using the midpoint formula.