This key facts covers Working with y = mx + c within y = mx + c for GCSE Mathematics. Revise y = mx + c 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 6 of 10 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 6 of 10
Practice
10 questions
Recall
20 flashcards
Working with y = mx + c
Finding the Equation from a Graph
- Find c: Read where the line crosses the y-axis
- Find m: Choose two clear points and use m = (y₂ - y₁)/(x₂ - x₁)
- Write equation: Substitute m and c into y = mx + c
Finding the Equation from Two Points
- Calculate gradient: m = (y₂ - y₁)/(x₂ - x₁)
- Substitute one point: Use y = mx + c with known m and one point
- Solve for c: Rearrange to find the y-intercept
- Write final equation
Finding Points on the Line
- Given x, find y: Substitute x into y = mx + c
- Given y, find x: Rearrange y = mx + c to solve for x
Keep building this topic
Read this section alongside the surrounding pages in y = mx + c. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for y = mx + c
For the line y = 3x – 2, what is the gradient?
Two students write down equations for parallel lines: Student A writes: y = 2x + 1 Student B writes: y = 2x + 1 Explain why these two lines are NOT parallel to each other.
Quick Recall Flashcards
10 questions on y = mx + c — practise free
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