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 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Key Methods for Straight Line Graphs
1. Drawing from a Table of Values
- Create a table with x and y values
- Substitute x values into the equation
- Calculate corresponding y values
- Plot the coordinates
- 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
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
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.