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Converting to y = mx + c Form

Part of y = mx + cGCSE Mathematics

This deep dive covers Converting to y = mx + c Form 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 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.

Topic position

Section 5 of 9

Practice

10 questions

Recall

20 flashcards

Converting to y = mx + c Form

Sometimes equations aren't given in the standard form. Here's how to rearrange them:

Example 1: 3x + 2y = 12

Step 1: Isolate the y term

2y = -3x + 12

Step 2: Divide everything by the coefficient of y

y = -3x/2 + 12/2

Step 3: Simplify

y = -1.5x + 6

So m = -1.5 and c = 6

Example 2: x - y + 4 = 0

Step 1: Rearrange to get y on its own

y = x + 4

So m = 1 and c = 4

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?

  • A. –2
  • B. 3
  • C. 2
  • D. –3
1 markfoundation

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.

2 markshigher

Quick Recall Flashcards

What is special about y = mx?
It passes through the origin (0, 0) because c = 0.
What gradient gives a 45° line?
m = 1 (rises 1 unit for every 1 unit across)

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