## midpoint formula

### The midpoint formula is a method in mathematics used to find the coordinates of the midpoint between two points in a coordinate plane

The midpoint formula is a method in mathematics used to find the coordinates of the midpoint between two points in a coordinate plane. The midpoint is the exact center between these two points.

To use the midpoint formula, you need to have the coordinates of the two points, which we’ll call (x1, y1) and (x2, y2).

The formula to find the midpoint (M) is:

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

To demonstrate how the midpoint formula works, let’s use an example:

Imagine we have two points, A(3, 6) and B(7, 12). We want to find the coordinates of the midpoint between these two points.

Using the formula, we can substitute the values into the formula:

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

= [(3 + 7) / 2, (6 + 12) / 2]

= [(10) / 2, (18) / 2]

= [5, 9]

Therefore, the coordinates of the midpoint between A(3, 6) and B(7, 12) is M(5, 9).

The midpoint formula is quite useful in many mathematical fields, such as geometry and calculus, as it allows us to find the center point between two given points. This can be helpful when calculating distances or working with shapes and patterns.

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