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The midpoint formula is a formula used to find the halfway point between two coordinates on a graph. Given a line segment with endpoints A and B, the midpoint is the point located exactly between A and B, meaning that it is the same distance from A and B, as in the figure below.
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Learn how to use the midpoint formula to find the midpoint of a line segment on the coordinate plane, or find the endpoint of a line segment given one point and the midpoint. Created by Sal Khan.
How do you Calculate Midpoint? The midpoint can be found with the formula ((x 1 + x 2)/2, (y 1 + y 2)/2). Here (x 1, y 1), and (x 2, y 2) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points. Can the Midpoint be Zero? The midpoint can be zero. This is dependent on the value of the two points.
Walk through writing a general formula for the midpoint between two points. The midpoint of the points ( x 1 , y 1 ) and ( x 2 , y 2 ) is given by the following formula: ( x 1 + x 2 2 , y 1 + y 2 2 )
Let’s go over five (5) different examples to see the midpoint formula in action! Example 1: Find the midpoint of the line segment joined by the endpoints [latex](–3, 3)[/latex] and [latex](5, 3)[/latex].
Given two points on the plane, you can find their midpoint. For example, let's find the midpoint of ( 5 , 3 ) and ( 1 , 7 ) : = ( x 1 + x 2 2 , y 1 + y 2 2 ) = ( 5 + 1 2 , 3 + 7 2 ) Plug in coordinates = ( 3 , 5 )
We use the Midpoint Formula to find the point that is exactly midway between two other points. For instance, if we need to find the perpendicular bisector of a given line segment, the first step will be to apply the Midpoint Formula to find the middle point.
