GraphsKey Facts

Special Cases

Part of Gradient & InterceptGCSE Mathematics

This key facts covers Special Cases 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 8 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 8 of 8

Practice

10 questions

Recall

20 flashcards

Special Cases

Type Gradient Description Example
Steep positive Large positive (>1) Rises quickly m = 5
Gentle positive Small positive (0 Rises slowly m = 0.2
Steep negative Large negative (<-1) Falls quickly m = -4
Gentle negative Small negative (-1 Falls slowly m = -0.5
Horizontal Zero No rise or fall m = 0
Vertical Undefined Infinite steepness x = constant

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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