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A coordinate plane is a two-dimensional coordinate system. It is a grid that results from intersecting a vertical number line with a horizontal number line at their zero points. The horizontal number line is usually named the $x-$axis and the vertical number line is usually the $y-$axis.

The positive numbers on the $y-$axis are above zero and the negative ones are below zero. The origin is where the lines intersect, which is the point $(0,0).$ Every point on a coordinate plane is plotted according to its $x-$ and $y-$coordinates.In a three-dimensional coordinate system, three axes intersect. Each axis is perpendicular to the other two axes. These axes are commonly labeled as the $x-$axis, the $y-$axis, and the $z-$axis. The origin of this system is the point $(0,0,0)$ where the three axes intersect.

Note that in this case, the $x-$axis goes from front to back, the $y-$axis from left to right, and the $z-$axis from bottom to top. Any point in a three-dimensional system requires three coordinates called an ordered triple $(x,y,z).$