Points in this quadrant are positioned in the lower-left section of the plane. Third Quadrant: In the third quadrant, both x and y coordinates are negative. A point like (-5, 2) is an example of a point in the second quadrant, as its x coordinate is negative while its y coordinate is positive. This means that points in this quadrant are found in the upper-left section of the plane. Second Quadrant: The second quadrant is characterized by negative x and positive y coordinates. For example, the point (3, 4) lies in the first quadrant because both its x and y coordinates are positive. As a result, points in the first quadrant are located in the upper-right section of the plane. Let’s take a more detailed look at the sign conventions for each quadrant:įirst Quadrant: In this quadrant, both the x and y coordinates are positive. These conventions help to identify the quadrant and give the position of the point relative to the origin. In the Cartesian coordinate plane, the x and y coordinates of a point follow specific sign conventions depending on the quadrant in which the point lies. Quadrants provide a systematic framework for organizing and interpreting points in the Cartesian coordinate plane, allowing for precise visualization and calculation of various mathematical concepts. Understanding the concept of quadrants is vital for many mathematical applications, including graphing functions, solving equations, and analyzing geometric properties. The point (7, -2) is an example of a point located in this quadrant. Fourth Quadrant (IV): Finally, the lower-right portion of the plane, known as the Fourth Quadrant, features positive x-coordinates and negative y-coordinates.An example of a point in this quadrant would be (-6, -3). Third Quadrant (III): In the lower-left section of the plane, the Third Quadrant sees both x and y coordinates taking on negative values. A point like (-4, 5) would be found in this quadrant.
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