A point is plotted on the Cartesian Coordinate System firstly by the X axis and then the Y axis. Though in other words firstly to plot your point you find a number on the horizontal line and then a number on the vertical line. Once you have done that just intersect the 2 until they both meet up at a coordinate and you will get a plotted point.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates. These coordinate system can be used to provide geometric interpretations for many branches of mathematics.
The vertex coordinate point of the vertex of the parabola y = 24-6x-3x^2 when plotted on the Cartesian plane is at (-1, 27) which can also be found by completing the square.
( x y z )
7.62