The Midpoint Formula | Finding the Exact Center Between Two Points on a Coordinate Plane

Midpoint Formula

The midpoint formula is a formula used to find the midpoint between two points in a coordinate plane

The midpoint formula is a formula used to find the midpoint between two points in a coordinate plane. It can be applied to both two-dimensional and three-dimensional coordinate systems.

In a two-dimensional coordinate plane, the midpoint between two points (x1, y1) and (x2, y2) can be found using the following formula:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

This formula calculates the average of the x-coordinates and the average of the y-coordinates of the given points, giving us the coordinates of the midpoint. It helps in finding the exact center or middle point between two given points.

For example, let’s say we have two points A(5, 2) and B(11, 8). To find the midpoint between these two points, we would plug the coordinates into the midpoint formula:

Midpoint = [(5 + 11) / 2, (2 + 8) / 2]
Midpoint = [16 / 2, 10 / 2]
Midpoint = [8, 5]

So, the midpoint between A(5, 2) and B(11, 8) is M(8, 5).

In a three-dimensional coordinate system, the midpoint can be found similarly, but with an additional z-coordinate. The formula becomes:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2]

You can use this formula to find the midpoint between any two points on a coordinate plane. It is widely used in geometry and calculus to determine the center or average position between two given points.

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