Plotting a Point in the Coordinate Plane

Coordinate Plane Overview

• Axes:
  • X-axis: Horizontal line.
  • Y-axis: Vertical line.
• Coordinate Points Format:
  • Always written as "X, Y".

Plotting Points (X, Y)

1. Understanding the Coordinates

   • X-coordinate: Position on the x-axis.
   • Y-coordinate: Position on the y-axis.
   • Similar to the game Battleship where location is identified using two coordinates.

2. Example Points

   • Point (-3, 2):

     • X: Move to -3 on the x-axis.
     • Y: Move up to 2 on the y-axis.
     • Intersection: Plot point at this intersection.

   • Point (4, -6):

     • X: Move to 4 on the x-axis.
     • Y: Move down to -6 on the y-axis.
     • Intersection: Plot point at this intersection.

   • Point (5, 0):

     • X: Move to 5 on the x-axis.
     • Y: No movement (0), stay on the x-axis.
     • Plot directly on the x-axis.

   • Point (0, -8):

     • X: No movement on x-axis (start at origin).
     • Y: Move down to -8 on y-axis.
     • Plot point on the y-axis.

   • Point (-6, -3):

     • X: Move to -6 on the x-axis.
     • Y: Move down to -3 on the y-axis.
     • Intersection: Plot point at this intersection.

   • Point (0, 0):

     • Both coordinates are zero.
     • Remain at the origin (0, 0).
     • Known as the origin.

Key Takeaways

• Always plot with the format X first, then Y.
• Treat the process like playing Battleship for easier understanding.
• Origin (0,0) is the starting/reference point for plotting.