Straight line graph
- Compare with y = mx + c.
- Read m as gradient.
- Read c as y-intercept.
Answer: y = 3x - 1 has gradient 3 and intercept -1
𝑥 Algebra
y = mx + c
Learn y = mx + c with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- y = mx + c is part of graphs and appears often in KS3–GCSE maths.
- Straight line graphs often use y = mx + c.
- Use the worked model, help guide, interactive question and flashcards to practise y = mx + c until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
y = mx + c 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 y = mx + c
- Learn the rule: Straight line graphs often use y = mx + c.
- Worked model: Compare with y = mx + c. Read m as gradient. Read c as y-intercept.
- 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
In y = 2x + 5, what is the gradient?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for y = mx + c
BackStraight line graphs often use y = mx + c.
FrontExample answer: In y = 2x + 5, what is the gradient?
BackIn y = mx + c, m is the gradient. Here m = 2.
FrontCommon check for y = mx + c
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.