Cartesian Plane

Definition of Cartesian Plane

A Cartesian Plane is a plane consisting of a set of two lines intersecting each other at right angles. The horizontal line is the X-axis and the vertical one is the Y-axis, and the point of their intersection is called the origin with the coordinates (0, 0).

More About Cartesian Plane

  • The location of any point on the coordinate plane is denoted by using pair of coordinates (X, Y), where X is the horizontal distance from the origin and Y is the vertical distance from the origin.
  • The X and Y-axis on the coordinate plane is always perpendicular to each other.

Video Examples: Math Tutorial - Cartesian Plane


Example of Carroll Diagram

      example of Cartesian Plane
    The location of point P is (4, 3), as the point P is placed 4 units (away from the origin) horizontally and 3 units (away from the origin) vertically.

Solved Example on Carroll Diagram

Ques: Identify the coordinates of the point C on the graph.

    example of Cartesian Plane
    Choices:
    A. (- 5, 1)
    B. (5, - 1)
    C. (- 1, - 5)
    D. (- 5, - 1)
    Correct Answer: D

Solution:

    Step 1: Start at the origin.
    Step 2: The point C is 5 units to the left from the Y-axis.
    Step 3: So, the X-coordinate of point C is - 5.
    Step 4: Point C is 1 unit below the X-axis.
    Step 5: So, the Y-coordinate of point C is - 1.
    Step 6: The coordinates of the point C are (- 5, - 1).