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{{ printedBook.courseTrack.name }} {{ printedBook.name }} A typical illustration of a coordinate plane is divided vertically by the $y-$axis and horizontally by the $x-$axis into four equal parts called **quadrants**. These quadrants are named first,

second,

third,

and fourth,

starting in the upper right quadrant, proceeding in a counter-clockwise fashion. Quadrants are sometimes expressed in writing with the Roman numerals I, II, III, and IV.

When describing the location of a point, it is often helpful to note its quadrant. One way to do this is by graphing the point and noting its quadrant visually. Consider the sample point $M(-1,2),$ found in the second quadrant.

By observing the signs of the $x-$ and $y-$coordinates of a point, its quadrant can be determined, even without graphing. Below is a visualization of the relationship between coordinate sign and point quadrant.

Note: points on the axes belong to *both* neighboring quadrants, and the origin belongs to *all* quadrants.