GraphsKey Facts

Calculating Gradient

Part of Gradient & InterceptGCSE Mathematics

This key facts covers Calculating Gradient 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 4 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 4 of 8

Practice

10 questions

Recall

20 flashcards

Calculating Gradient

Method 1: Using Two Points

Formula: Gradient = (y₂ - y₁)/(x₂ - x₁) = rise/run

Method 2: From a Graph

  1. Choose two points with easy-to-read coordinates
  2. Count the rise (vertical change)
  3. Count the run (horizontal change)
  4. Calculate rise ÷ run

Method 3: From Equation

In y = mx + c, the gradient is m (coefficient of x)

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.

Want to test your knowledge?

PrepWise has 10 exam-style questions and 20 flashcards for Gradient & Intercept — with adaptive difficulty and instant feedback.

Join Alpha