The midpoint formula is used to find the point exactly halfway between two points on a coordinate plane. Given two points A(x1,y1)A(x_1,y_1)A(x1,y1) and B(x2,y2)B(x_2,y_2)B(x2,y2), the midpoint M(x,y)M(x,y)M(x,y) is calculated by averaging the x-coordinates and the y-coordinates of the endpoints:
M=(x1+x22,y1+y22)M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)M=(2x1+x2,2y1+y2)
This means you add the x-values of the two points, divide by 2 to get the x-coordinate of the midpoint, and do the same for the y-values to get the y-coordinate of the midpoint
. In other words, the midpoint is the coordinate point that lies exactly in the middle of the line segment joining the two points, making it equidistant from both endpoints
. This formula can also be generalized to n-dimensional space, where the midpoint coordinates are the averages of the corresponding coordinates of the endpoints
