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# Cartesian coordinate system

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Using the Cartesian coordinate system, many shapes, like straight lines and parabolas can be described by using algebraic equations. The results of the equations can be seen by plotting (drawing) a point for each solution to the equations. For example, the x axis is described by the equation $y = 0$. A circle having radius r and centered at the origin can be described with the equation $x^2 + y^2 = r^2$ (see Figure 2).
Cartesian coordinate system with the circle of radius 2 centered at the origin marked in red. The equation of the circle is $x^2 + y^2 = 4$.