The midpoint formula is used to find a point (its coordinate values) that is located exactly between two other points in a plane. The formula finds its tremendous application in geometry.
The coordinates of the point (x, y) that lies exactly halfway between the two points (x1, y1) and (x2, y2) are given by:
` x = ( x_(1 )+ x_2)/2 , y = ( y_(1 )+ y_2)/2 `
Similarly, if we want to find the midpoint of a segment in the 3-dimensional space, we can determine the midpoint using:
` x = ( x_(1 )+ x_2)/2 , y = ( y_(1 )+ y_2)/2 , z = ( z_(1 )+ z_2)/2 `
The figure shown below gives an illustration of the midpoint formula.