The Cartesian Coordinate System

In geometry, the cartesian coordinate system is a system that uses two axes, the x-axis and y-axis, to specify points in a plane. The cartesian coordinate system is also known as the rectangular coordinate system. It is named after René Descartes, who introduced it in 1637.

The x-axis is the horizontal axis and the y-axis is the vertical axis. The point where the two axes intersect is called the origin. The coordinates of a point are given as an ordered pair, (x,y). The x-coordinate is the distance from the origin to the point on the x-axis and the y-coordinate is the distance from the origin to the point on the y-axis. 

For example, consider the point A with coordinates (3,4). This means that A is 3 units away from the origin on the x-axis and 4 units away from the origin on the y-axis. 

Another way to think about it is that the x-coordinate tells you how far to go along the x-axis and the y-coordinate tells you how far to go along the y-axis. You can use this information to plot points on a graph. 

Conclusion

The cartesian coordinate system is a useful tool for geometry because it allows you to specify points in a plane using two axes, the x-axis and y-axis. The coordinates of a point are given as an ordered pair, (x,y), which tells you how far away from the origin (the point where the two axes intersect) that point is on each axis. By plotting points on a graph using their coordinates, you can visualize relationships between those points.

FAQ

What is Cartesian system and explain?

The Cartesian coordinate system is a system that uses two axes, the x-axis and y-axis, to specify points in a plane. The cartesian coordinate system is also known as the rectangular coordinate system. It is named after René Descartes, who introduced it in 1637.

What is Cartesian coordinates with example?

The coordinates of a point are given as an ordered pair, (x,y). The x-coordinate is the distance from the origin to the point on the x-axis and the y-coordinate is the distance from the origin to the point on the y-axis.

What is Cartesian coordinate system in simple words?

In geometry, the cartesian coordinate system is a system that uses two axes, the x-axis and y-axis, to specify points in a plane. The cartesian coordinate system is also known as the rectangular coordinate system. It is named after René Descartes, who introduced it in 1637.

What is the Cartesian coordinate system formula?

The coordinates of a point are given as an ordered pair, (x,y). The x-coordinate is the distance from the origin to the point on the x-axis and the y-coordinate is the distance from the origin to the point on the y-axis.