The Relationship Detective

Part of Straight Line Graphs · Section 1 of 8

IntroductionUnit: GraphsGCSE

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.

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.

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

Instant marking, adaptive difficulty and spaced-repetition flashcards — all aligned to your exam board.

Start revising free →