This deep dive covers Finding Intercepts 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 5 of 9 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Finding Intercepts
Y-intercept Methods
| Method | How To | Example |
|---|---|---|
| From equation | Set x = 0 | y = 3x + 5 → y = 5 |
| From y = mx + c | Read the c value | y = 2x - 3 → c = -3 |
| From graph | Find where line crosses y-axis | Read coordinates |
X-intercept Methods
| Method | How To | Example |
|---|---|---|
| From equation | Set y = 0, solve for x | 0 = 3x + 5 → x = -5/3 |
| From graph | Find where line crosses x-axis | Read coordinates |
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 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.