The coordinate plane is a fundamental concept in
algebra and geometry. This guide will help you
understand how to plot points, read coordinates, and
work with graphs.
1. What is the Coordinate Plane?
The coordinate plane (also called the Cartesian plane) is a two-dimensional grid used to locate
points. It is made up of two number lines:
• The x-axis (horizontal line)
• The y-axis (vertical line)
These two axes meet at the origin (0,0).
2. The Four Quadrants
The coordinate plane is divided into four sections called quadrants:
1. Quadrant I: (+, +) → Both x and y are positive.
2. Quadrant II: (−, +) → x is negative, y is positive.
3. Quadrant III: (−, −) → Both x and y are negative.
4. Quadrant IV: (+, −) → x is positive, y is negative.
Tip: Quadrants move counterclockwise starting from the top right.
3. Understanding Ordered Pairs (Coordinates)
A point on the coordinate plane is written as an ordered pair (x, y).
• The x-coordinate tells how far left or right the point is.
• The y-coordinate tells how far up or down the point is.
Example:
• (3, 2) → Move 3 right and 2 up.
• (-4, -1) → Move 4 left and 1 down.
algebra and geometry. This guide will help you
understand how to plot points, read coordinates, and
work with graphs.
1. What is the Coordinate Plane?
The coordinate plane (also called the Cartesian plane) is a two-dimensional grid used to locate
points. It is made up of two number lines:
• The x-axis (horizontal line)
• The y-axis (vertical line)
These two axes meet at the origin (0,0).
2. The Four Quadrants
The coordinate plane is divided into four sections called quadrants:
1. Quadrant I: (+, +) → Both x and y are positive.
2. Quadrant II: (−, +) → x is negative, y is positive.
3. Quadrant III: (−, −) → Both x and y are negative.
4. Quadrant IV: (+, −) → x is positive, y is negative.
Tip: Quadrants move counterclockwise starting from the top right.
3. Understanding Ordered Pairs (Coordinates)
A point on the coordinate plane is written as an ordered pair (x, y).
• The x-coordinate tells how far left or right the point is.
• The y-coordinate tells how far up or down the point is.
Example:
• (3, 2) → Move 3 right and 2 up.
• (-4, -1) → Move 4 left and 1 down.
