Reading the Map of a Line

Part of Gradient & Intercept · Section 1 of 9

IntroductionUnit: GraphsGCSE

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 9 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and 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.

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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