Using the Midpoint Formula to Find the Midpoint Between Two Points on a Coordinate Plane

midpoint formula

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

The midpoint formula is a formula used to find the midpoint between two given points in a two-dimensional coordinate plane. It allows you to calculate the coordinates of the midpoint using the coordinates of the two endpoints.

Let’s say we have two points, (x₁, y₁) and (x₂, y₂).

To find the midpoint between these two points, we use the following formula:

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

This formula calculates the average of the x-coordinates of the two points to determine the x-coordinate of the midpoint, and it also calculates the average of the y-coordinates to determine the y-coordinate of the midpoint.

Let’s walk through an example using this formula:

Suppose we have the points A(2, 4) and B(8, 6). To find the midpoint between these two points:

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
= ((2 + 8)/2, (4 + 6)/2)
= (10/2, 10/2)
= (5, 5)

Therefore, the midpoint between A(2, 4) and B(8, 6) is (5, 5).

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