Midpoint formula is used to find the center point of a straight line. Sometimes you will need to find the number that is half of two particular numbers. For that, you find the average of the two numbers. In that similar fashion, we use the midpoint formula in coordinate geometry to find the halfway number (i.e. point) of two coordinates.
Formula to Find the Midpoint
To find the midpoint of the straight line in a graph, we use this midpoint formula that will enable us to find the coordinates of the end point of the given line. Suppose the endpoints of the line is (x1, y2) and (x2, y2) then the midpoint is given as:
The Midpoint Formula is given as,
|(x, y) = [(x1 + x2)/2, (y1 + y2)/2]|
Where, x1, x2 are the coordinates of the x-axis. y1, y2 are the coordinates of the y-axis.
Question 1: Find the midpoint of a line whose endpoints are (4, 5) and (6, 7)?
Given, (x1, y1) = (4, 5)
(x2, y2) = (6, 7)
According to the formula we can find the midpoint (x, y):
(x, y) = [(x1 + x2)/2, (y1 + y2)/2]
(x, y) = [(4 + 5)/2, (6 + 7)/2]
= (5, 6)