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.
📈 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.
Practice questions for Straight Line Graphs
A straight line has the equation y = 3x + 7. What is the gradient of this line?
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.