Find intercepts
- For the y-intercept, set x = 0.
- For the x-intercept, set y = 0.
- Solve if needed.
Answer: y = 2x + 5 has y-intercept 5
𝑥 Algebra
Intercepts
Learn intercepts with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Intercepts is part of graphs and appears often in KS3–GCSE maths.
- An intercept is where a graph crosses an axis.
- Use the worked model, help guide, interactive question and flashcards to practise intercepts until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Intercepts learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Intercepts
- Learn the rule: An intercept is where a graph crosses an axis.
- Worked model: For the y-intercept, set x = 0. For the x-intercept, set y = 0. Solve if needed.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
What is the y-intercept of y = 4x - 3?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Intercepts
BackAn intercept is where a graph crosses an axis.
FrontExample answer: What is the y-intercept of y = 4x - 3?
BackIn y = 4x - 3, c = -3, so the y-intercept is -3.
FrontCommon check for Intercepts
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.