GraphsKey Facts

Gradient and Intercept Essentials

Part of Gradient & InterceptGCSE Mathematics

This key facts covers Gradient and Intercept Essentials 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 2 of 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 8

Practice

10 questions

Recall

20 flashcards

Gradient and Intercept Essentials

  • Gradient: The steepness of a line, calculated as rise/run
  • Y-intercept: Where the line crosses the y-axis (when x = 0)
  • X-intercept: Where the line crosses the x-axis (when y = 0)
  • Positive gradient: Line goes upward (↗)
  • Negative gradient: Line goes downward (↘)
  • Zero gradient: Horizontal line (—)

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

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