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 9 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 9
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