Coordinate Plane Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Coordinate Plane.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A two-dimensional surface formed by horizontal (x) and vertical (y) number lines.
Like a map with street numbers—the address (3, 2) is 3 right, 2 up.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: The plane creates a visual bridge between algebra and geometry.
Common stuck point: x comes first (horizontal distance), then y (vertical distance) — this order is never reversed.
Sense of Study hint: Say out loud 'right/left first, then up/down' every time you plot a point until it becomes automatic.
Worked Examples
Example 1
easySolution
- 1 The x-coordinate is -3 (negative, so left of the origin).
- 2 The y-coordinate is 5 (positive, so above the origin).
- 3 Negative x and positive y place the point in Quadrant II.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.