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 9 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Calculating Gradient
Method 1: Using Two Points
Formula: Gradient = (y₂ - y₁)/(x₂ - x₁) = rise/run
Method 2: From a Graph
- Choose two points with easy-to-read coordinates
- Count the rise (vertical change)
- Count the run (horizontal change)
- Calculate rise ÷ run
Method 3: From Equation
In y = mx + c, the gradient is m (coefficient of x)
Practice questions for Gradient & Intercept
The gradient of a straight line is calculated by:
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?
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.