GraphsKey Facts

Key Methods for Straight Line Graphs

Part of Straight Line GraphsGCSE Mathematics

This key facts covers Key Methods for Straight Line Graphs 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 4 of 7 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 4 of 7

Practice

14 questions

Recall

20 flashcards

Key Methods for Straight Line Graphs

1. Drawing from a Table of Values

  1. Create a table with x and y values
  2. Substitute x values into the equation
  3. Calculate corresponding y values
  4. Plot the coordinates
  5. Draw a straight line through all points

2. Finding Points on a Line

For equation y = mx + c:

  • Y-intercept: Set x = 0, so y = c
  • X-intercept: Set y = 0, solve for x
  • Any point: Choose x value, calculate y

3. Reading Information from Graphs

  • Find where line crosses y-axis (y-intercept)
  • Calculate gradient using two points
  • Write equation in form y = mx + c

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?

  • A. 7
  • B. 3
  • C. 10
  • D. -3
1 markfoundation

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.

3 markshigher

Quick Recall Flashcards

What is a linear relationship?
A relationship where one variable changes at a constant rate with respect to another, producing a straight line graph.
What is the y-intercept?
The point where the line crosses the y-axis, found when x = 0.

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