Ratio & ProportionKey Facts

Key Facts

Part of Proportion GraphsGCSE Mathematics

This key facts covers Key Facts within Proportion Graphs for GCSE Mathematics. Revise Proportion Graphs in Ratio & Proportion for GCSE Mathematics with 14 exam-style questions and 4 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 5

Practice

14 questions

Recall

4 flashcards

Key Facts

Symboly ∝ x means "y is directly proportional to x"
Formulay = kx, where k is the constant of proportionality
GraphA straight line through the origin (0,0)
Key Featurey/x always equals the same value (k)
Higher: y ∝ x²y = kx² (quadrupling x means y × 4²)

Keep building this topic

Read this section alongside the surrounding pages in Proportion Graphs. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Proportion Graphs

Which of the following describes the graph of a direct proportion relationship?

  • A. A curved line passing through the origin
  • B. A straight line passing through the origin
  • C. A straight line that crosses the y-axis above zero
  • D. A U-shaped curve symmetric about the y-axis
1 markfoundation

Aisha says: 'Because the graph of y against x is a straight line, y must be directly proportional to x.' Is Aisha correct? Explain your answer.

2 marksstandard

Quick Recall Flashcards

Direct vs Inverse
Direct: both increase together (y ∝ x). Inverse: one increases, other decreases (y ∝ 1/x).
Finding k
Use given values to find constant k, then apply to new values

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