What is the coordinate plane?

The coordinate plane is a grid that helps us show where a point is located using numbers.

You can think of it like:

• A map

• A game board

• Or a piece of graph paper

Instead of using words like “left” or “up,” we use numbers.

The two number lines (axes)

The coordinate plane is made from two number lines that cross each other.

1️⃣ The x-axis (horizontal line)

• Goes left and right

• Positive numbers go to the right

• Negative numbers go to the left

2️⃣ The y-axis (vertical line)

• Goes up and down

• Positive numbers go up

• Negative numbers go down

The origin (very important)

The point where the x-axis and y-axis cross is called the origin.

This is your starting point every single time.

What are coordinates?

A coordinate tells you exactly where a point is.

It’s written like this:

• x → left or right

• y → up or down

Example:

Steps to graph it:

1. Start at the origin (0, 0)

2. Move right 3 (x = 3)

3. Move up 2 (y = 2)

4. Put a dot 🎯

Negative numbers on the plane

Negative numbers just mean opposite direction.

• x = −3 → move left 3

• y = −4 → move down 4

Example:

• Left 2

• Up 3

The four quadrants

The coordinate plane is divided into four sections, called quadrants.

Quadrant signs:

• Quadrant I: (+, +)

• Quadrant II: (−, +)

• Quadrant III: (−, −)

• Quadrant IV: (+, −)

This helps you quickly understand where a point belongs.

Example points

• (4, −1) → right 4, down 1 → Quadrant IV

• (−3, 5) → left 3, up 5 → Quadrant II

• (−2, −4) → left 2, down 4 → Quadrant III

Common beginner tips

• Always start at (0, 0)

• Move x first, then y

• Left/right → x

• Up/down → y

• Draw arrows lightly if it helps