GraphsIntroduction

Reading the Map of a Line

Part of Gradient & InterceptGCSE Mathematics

This introduction covers Reading the Map of a Line within Gradient & Intercept for GCSE Mathematics. Revise Gradient & Intercept 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 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

10 questions

Recall

20 flashcards

🧭 Reading the Map of a Line

Every straight line has two crucial pieces of information written into its DNA - its gradient (how steep it climbs) and its intercepts (where it meets the axes). These are like the coordinates on a treasure map, telling you exactly where you are and which direction you're heading!

Mastering gradients and intercepts gives you the power to decode any linear relationship.

Keep building this topic

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

Practice Questions for Gradient & Intercept

The gradient of a straight line is calculated by:

  • A. change in x ÷ change in y
  • B. change in y ÷ change in x
  • C. change in y × change in x
  • D. sum of y-values ÷ sum of x-values
1 markfoundation

A graph shows the distance (km) travelled by a car plotted against time (hours). The line has gradient 80. What does the gradient represent in this context?

2 markshigher

Quick Recall Flashcards

What is the y-intercept?
The point where a line crosses the y-axis. Found by setting x = 0.
What is the x-intercept?
The point where a line crosses the x-axis. Found by setting y = 0.

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