There are two main uses of coordinates.
The common use is to the location of a point in space which may be two dimensional or multi-dimensional. Maps are a good example of this use. Every place on earth has a unique latitude and longitude and that enables us to unambiguously locate places.
Coordinate geometry also allows mathematicians to use results from algebra to solve problems in geometry.
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Take the arithmetic average of the y-coordinates of the end points.
You don't!
Use the coordinates of the vertices.
cause they are important
You use the x-coordinate before the y- coordinate.