# Coordinate Geometry - Identifying Quadrants

In coordinate geometry, we use two coordinate axes (the \(x\)-axis and \(y\)-axis) to identify the location of any point.

\((3, 5) \) is the location of a point having location \(3\) on the \(x\)-axis and location \(5 \) on the \(y\)-axis. That is, the first number is the \(x\)-coordinate, and the second number is the \(y\)-coordinate.

The perpendicular distance of a point from the \(y\)-axis is called the \(x\)-coordinate. Similarly, the perpendicular distance of a point from the \(x\)-axis is called the \(y\)-coordinate.

The intersection of the \(x\)-axis and \(y\)-axis divides the plane into four quadrants.

On the \(x\)-axis the positive numbers run to the right, while the negative numbers run to the left. Similarly, on the \(y\)-axis the positive numbers run upwards, while the negative numbers run down.

The coordinate plane has two axes: the horizontal and vertical axes. These two axes intersect one another at a point called the \(origin\). It can also be defined as the (0,0) point in the coordinate plane.

Suppose we need to find the quadrant of a point \((x,y)\).

If \(x,y\) both are positive, then the point lies in first quadrant.

If \(x\) is negative and \(y\) is positive, then the point lies in second quadrant.

If \(x,y\) both are negative, then the point lies in third quadrant.

If \(x\) is positive and \(y\) is negative, then the point lies in fourth quadrant.

These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the two coordinates are (+,+)), II (−,+), III (−,−), and IV (+,−).

Find the quadrant in which the point \((-5,11)\) lies.

As the \(x\)-coordinate is negative and the \(y\)-coordinate is positive , the point lies in the second quadrant.

## See Also

**Cite as:**Coordinate Geometry - Identifying Quadrants.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/coordinate-geometry-identifying-quadrants/