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Midpoint and Distance Formula

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Examples, videos, worksheets, solutions and activities to help GCSE Maths students learn how to use the midpoint formula and distance formula.

The Midpoint Formula is the formula to calculate the midpoint between two points on the coordinate plane. It is the average of the x-coordinates and the average of the y-coordinates. To calculate add the x-coordinates of the two points and divide by two, then add the y-coordinates of the two points and divide by two.
The midpoint between the two points (x1,y1) and (x2,y2) is midpoint formula

The Distance Formula is derived from the Pythagorean Theorem.

The distance between the two points (x1,y1) and (x2,y2) is
   distance formula

The Midpoint Formula
This video give the formula for finding the midpoint of two points and do one simple example to find the midpoint. The Midpoint Formula - Finding the Midpoint

Coordinate Geometry - Mid-point of a line segment The Distance Formula
How the distance formula comes from the Pythagorean Theorem, and one simple example of finding the distance between two points. The Distance Formula and Finding the Distance Between Two Points
Suppose you drive from point A(3, 8) to point B(13, 14), if you stop halfway, how far would you be from point B? The Distance Formula and Finding the Distance Between Two Points - Example 2

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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