Algebra · Lesson 8

The Coordinate Plane

Cross two number lines and you get a map for points. Learn to plot a point from its coordinates, and to read off the coordinates of a point you see.

Part 01

Two Number Lines, One Map

A coordinate plane is made of two number lines that cross. The horizontal one is the x-axis, the vertical one is the y-axis, and the point where they meet is the origin — that's (0, 0).

Right of the origin is positive x, left is negative. Up is positive y, down is negative.
Part 02

Ordered Pairs: Over, Then Up

Every point has an address called an ordered pair, written (x, y). The order matters: the first number is x (how far over — right or left), the second is y (how far up or down).

To plot (3, 2): start at the origin, go over 3, then up 2.

Remember the order 💡

x comes before y, just like in the alphabet. Say it as "over, then up." Mixing them up sends you to a totally different spot: (3, 2) and (2, 3) are not the same point!

Part 03

The Four Quadrants

The two axes split the plane into four regions called quadrants, numbered with Roman numerals counter-clockwise starting from the top right. Each quadrant has its own pattern of + and signs.

Quadrant I: (+, +)  ·  II: (−, +)  ·  III: (−, −)  ·  IV: (+, −)
Part 04

Try the Grid

Switch between the two skills: plot a point from its coordinates, or name the coordinates of a point you're shown.

Part 05

Connect the Dots

Plot each point in order and watch the lines connect. Can you tell what the mystery picture will be? There are several hidden pictures — tap New Picture for a different one.

Interactive · Mystery Picture
Your Turn!

Practice & Earn Your Score

A mix of plotting and naming. For plot problems, tap the grid at the right spot. For name problems, set the coordinates of the shown point. You earn a point for each one correct on the first try.

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