This deep dive covers Special Cases and Variations within y = mx + c for GCSE Mathematics. Revise y = mx + c in Graphs for GCSE Mathematics with 10 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 9 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 9 of 10
Practice
10 questions
Recall
20 flashcards
Special Cases and Variations
| Equation Type | Form | Special Property |
|---|---|---|
| Through origin | y = mx | c = 0, passes through (0, 0) |
| Horizontal line | y = c | m = 0, parallel to x-axis |
| Steep positive | y = 5x + c | Large positive gradient |
| Gentle negative | y = -0.5x + c | Small negative gradient |
| 45° line | y = x + c | m = 1, rises 1 for every 1 across |
Keep building this topic
Read this section alongside the surrounding pages in y = mx + c. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for y = mx + c
For the line y = 3x – 2, what is the gradient?
Two students write down equations for parallel lines: Student A writes: y = 2x + 1 Student B writes: y = 2x + 1 Explain why these two lines are NOT parallel to each other.
Quick Recall Flashcards
10 questions on y = mx + c — practise free
Instant marking, adaptive difficulty, and 20 spaced repetition flashcards. Free until your GCSEs.
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