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More Lessons for Geometry

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In this lesson, we will learn about### Coordinate Plane or Cartesian Plane

### Points on the Cartesian Plane

###
Quadrants

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Geometry

Math Worksheets

In this lesson, we will learn about

- the coordinate plane or Cartesian plane
- points on the Cartesian Plane
- quadrants

The coordinate plane or Cartesian plane is a basic concept for coordinate geometry. It describes a two-dimensional plane in terms of two
perpendicular lines or axes: *x*-axis and *y*-axis. The *x*-axis forms a horizontal number line while
the *y*-axis forms a vertical number line. The *x*-axis and the *y*-axis meets at the point of origin.

The position of a point on the Cartesian plane is represented by a pair of numbers. The pair is called an **ordered pair or coordinates **(*x, y*). The first number, *x*, called the ** x-coordinate** and the second number,

The origin is indicated by the ordered pair or coordinates (0, 0)

To get to the point (*x*, *y*), we start from the origin.

If *x* is positive then we move *x* units right from the origin otherwise if *x* is negative then we move *x* units left from the origin. Then, if *y* is positive, we move *y* units up otherwise if *y* is negative, we move *y* units down.

In the following coordinate plane: .

Point *M* has coordinates (2, 1.5). To get to point *M*, we move 2 units to the right (positive) and 1.5 units up (positive).

Point *L* is represented by the coordinates (–3, 1.5). To get to point *L, *we move 3 units to the left (negative) and 1.5 units up (positive)

Point *N* has coordinates (–2, –3). To get to point *N*, we move 2 units to the left (negative) and 3 units down (negative).

Notice that the *x*-axis and *y*-axis divide the Cartesian plane into 4 regions known as quadrants. They are labeled 1st, 2nd, 3rd and 4th quadrants accordingly in an anticlockwise direction.

Quadrant 1 contains positive *x* values and positive *y *values.

Quadrant 2 contains negative *x* values and positive *y *values.

Quadrant 3 contains negative *x* values and negative *y *values.

Quadrant 4 contains positive *x* values and negative *y *values.

This video introduces the coordinate plane or Cartesian plane, quadrants and how to plot points on the Cartesian plane. This video shows some examples of how to find the ordered pair or coordinates of a given point and how to plot the point given the ordered pair or coordinates.

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