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Plotting Points on a Coordinate Plane

Mar 17, 2025

Math with Mr. Jay: Plotting Points on a Coordinate Plane

Introduction

  • Focus on how to plot points on a coordinate plane.
  • Coordinate Plane Basics:
    • X-Axis: Horizontal (side to side).
    • Y-Axis: Vertical (up and down).

Key Concepts

  • Ordered Pair: Written as (x, y).
    • X-Coordinate: Comes first in the pair.
    • Y-Coordinate: Comes second.
  • Origin: The starting point (0, 0).

Steps to Plot Points

  1. Identify the Ordered Pair: Always start with the x-coordinate.
  2. Move Horizontally: Based on the x-coordinate.
  3. Move Vertically: Based on the y-coordinate.
  4. Plot the Point: Mark the intersection.

Examples

Example 1

  • Coordinates: (4, 7)
    • Move 4 units right on the x-axis.
    • Move 7 units up on the y-axis.
    • Plot: Point at (4, 7).

Example 2

  • Coordinates: (3, -9)
    • Move 3 units right on the x-axis.
    • Move 9 units down on the y-axis.
    • Plot: Point at (3, -9).

Example 3

  • Coordinates: (-9, 3)
    • Move 9 units left on the x-axis.
    • Move 3 units up on the y-axis.
    • Plot: Point at (-9, 3).

Example 4

  • Coordinates: (-5, -6)
    • Move 5 units left on the x-axis.
    • Move 6 units down on the y-axis.
    • Plot: Point at (-5, -6).

Example 5

  • Coordinates: (0, -2)
    • Stay on the origin for the x-axis.
    • Move 2 units down on the y-axis.
    • Plot: Point at (0, -2).

Example 6

  • Coordinates: (-8, 10)
    • Move 8 units left on the x-axis.
    • Move 10 units up on the y-axis.
    • Plot: Point at (-8, 10).

Additional Tips

  • Marks on axes are not necessary for final plots.
  • Always check the sequence: X before Y.

Conclusion

  • Recap the importance of sequence in ordered pairs.
  • Practice plotting to become proficient.

Note: These notes are based on the lecture by Mr. Jay on plotting points on a coordinate plane.