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COORDINATE PLANE

Coordinate Plane

Definition Of Coordinate Plane

Coordinate Plane is a plane formed by the intersection of a horizontal number line with a vertical number line.

The horizontal number line is called the x-axis and the vertical number line is called the y-axis.

The number lines intersect at their zero points. This point of intersection is called the origin and written as (0, 0).

Video Examples: Coordinate plane

Solved Example on Coordinate Plane

Ques: Name the point having the coordinates (- 2.5, 2.5) on the coordinate plane.

example of  Coordinate Plane

Choices:

A. B
B. E
C. G
D. C
Correct Answer: A

Solution:

Step 1: The ordered pair (- 2.5, 2.5) is 2.5 units to the left of the origin and 2.5 units up the x-axis.
Step 2: So, the point with the coordinates (- 2.5, 2.5) is B.

Quick Summary

  • The coordinate plane is formed by two perpendicular number lines: the x-axis and the y-axis.
  • The point of intersection of the axes is called the origin (0, 0).
  • Points are located using ordered pairs (x, y), where x represents the horizontal distance from the origin and y represents the vertical distance.
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🍎 Teacher Insights

Use graph paper or online graphing tools to help students visualize the coordinate plane and plot points accurately. Emphasize the importance of labeling axes and understanding the signs of coordinates in each quadrant.

🎓 Prerequisites

  • Number lines
  • Positive and negative numbers

Check Your Knowledge

Q1: What are the coordinates of the origin?

Q2: In which quadrant is the point (-2, 3) located?

Frequently Asked Questions

Q: What is the origin?
A: The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0).

Q: How do I plot a point on the coordinate plane?
A: Find the x-coordinate on the x-axis and the y-coordinate on the y-axis. The point where these two values meet is the location of the point.

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