the very center of a coordinate plane is called the origin or (0,0) :D
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The zero of a function is a point where the function evaluates to zero. If you express "y" as a function of "x", i.e. y = f(x), then for a zero of the function, the y-coordinate is 0. In other words, the corresponding point is on the x-axis.
The coordinate plane is sometimes call the Cartesian plane because Rene Descartes is often credited with inventing the coordinate plane and so the coordinate plane is sometimes called the Cartesian plane,in his honor.
the coordinate plane is a map of points
The Rectangular Coordinate Plane
All points in a plane do have a y-coordinate. Its value may be 'zero' ... if the point happens to lie on the x-axis ... but 'zero' is a perfectly good coordinate.If you want all points whose y-coordinate is not zero, then those are |y| > 0. (Absolute value of 'y' is greater than zero.)