GraphsIntroduction

The Relationship Detective

Part of Straight Line Graphs · GCSE GCSE Mathematics revision

This introduction covers The Relationship Detective within Straight Line Graphs for GCSE Mathematics. Revise Straight Line Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 1 of 8 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 8

Practice

14 questions

Recall

20 flashcards

📈 The Relationship Detective

Imagine you're a detective investigating the relationship between two things - like the cost of taxi rides and the distance travelled. You notice that every extra mile costs an extra £2, and there's a £3 starting fee. This creates a perfect straight line when graphed!

Straight line graphs show constant relationships and are everywhere in real life - from phone bills to speed calculations.

Keep building this topic

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

Practice Questions for Straight Line Graphs

A straight line has the equation y = 3x + 7. What is the gradient of this line?

  • A. 7
  • B. 3
  • C. 10
  • D. -3
1 markfoundation

Line A has equation y = 3x + 1. Line B has equation y = 3x - 5. Explain why lines A and B are parallel. Include the values of their gradients in your answer.

3 markshigher

Quick Recall Flashcards

What is the y-intercept?
The point where the line crosses the y-axis, found when x = 0.
What is a linear relationship?
A relationship where one variable changes at a constant rate with respect to another, producing a straight line graph.

14 questions on Straight Line Graphs — practise free

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