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 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 Cartesian Plane
Ques: Identify the coordinates of the point C on the graph.
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).
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