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Using the Midpoint Formula
In this example, the midpoint of two points, one in Quadrant I and one in Quadrant IV, is found.
Review of the midpoint formula:
This set of Math Tutorials uses the Midpoint Formula to find the coordinates of the point midway between two other points. The Midpoint Formula takes the average of the two x-coordinates and the average of the two y-coordinates to define a new set of coordinates for the midpoint. The result of the Midpoint Formula is a set of coordinates.
Since coordinates can be positive or negative, in using the Midpoint Formula you should be familiar with adding positive and negative numbers. Note the following observations about using the Midpoint Formula:
- It is possible for the Midpoint Formula to result in the coordinates of the origin (0, 0). In such a case the two points are equidistant from the origin and can be connected by a single line.
- If two points are in Quadrant I, then the midpoint is also in Quadrant I. The same goes for the other three quadrants.
- If two points are on the x-axis, then the midpoint is also on the x-axis.
- If two points are on the y-axis, then the midpoint is also on the y-axis.
To use the Midpoint Formula make sure you are familiar with the following skills:
- Adding and subtracting integers and decimals
- Dividing integers and decimals
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The library of Math Tutorials is a comprehensive collection of worked-out solutions to common math problems. This overcomes a common limitation of most textbooks: the handful of worked-out examples for a given concept. We provide the full array of examples and solutions, allowing students to identify patterns among the solutions, in order to aid concept retention. We also have quizzes for many of these topics.
Our current inventory of Math Examples include:
- Math Tutorial: Examples Using Algebra Tiles
- Math Tutorial: Solving Equations in One Variable
- Math Tutorial: Solving Equations with Fractions
- Math Tutorial: Solving Equations with Percents
- Math Tutorial: Slope formula
- Math Tutorial: Midpoint formula
- Math Tutorial: Distance formula
- Math Tutorial: Graphing linear functions, given m and b
- Math Tutorial: Graphing absolute value functions
- Math Tutorial: Graphing linear inequalities
- Math Tutorial: Using the Point-Slope form
- Math Tutorial: Finding the equation of a line given two points
- Math Tutorial: Graphing parallel and perpendicular lines
- Math Tutorial: Solving quadratics graphically
- Math Tutorial: Solving quadratics by completing the square
