This deep dive covers Worked Examples within Straight Line Graphs for GCSE Mathematics. Revise Straight Line Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 5 of 8 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 5 of 8
Practice
14 questions
Recall
20 flashcards
Worked Examples
Example 1: Drawing y = 3x - 2
Create a table of values and draw the graph
| x | y = 3x - 2 | y | Coordinates |
|---|---|---|---|
| 0 | 3(0) - 2 | -2 | (0, -2) |
| 1 | 3(1) - 2 | 1 | (1, 1) |
| 2 | 3(2) - 2 | 4 | (2, 4) |
Plot these points and draw a straight line through them.
Example 2: Finding the Equation
A line passes through (0, 4) and (2, 10). Find its equation.
Solution:
- Y-intercept: c = 4 (from point (0, 4))
- Gradient: m = (10 - 4)/(2 - 0) = 6/2 = 3
- Equation: y = 3x + 4
Example 3: Real-life Application
A taxi charges £3 to start, then £2 per mile. Write an equation for the total cost.
Solution:
- Fixed cost (y-intercept): c = £3
- Cost per mile (gradient): m = £2 per mile
- If x = miles and y = total cost: y = 2x + 3
Keep building this topic
Read this section alongside the surrounding pages in Straight Line Graphs. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Straight Line Graphs
A straight line has the equation y = 3x + 7. What is the gradient of this line?
Line A has equation y = 3x + 1. Line B has equation y = 3x - 5. Explain why lines A and B are parallel. Include the values of their gradients in your answer.
Quick Recall Flashcards
14 questions on Straight Line Graphs — practise free
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