Year 10 - Maths
Checking and securing understanding of finding the equation of the line from the graph
Linear graphs
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils consider equations that produce parallel or perpendicular graphs and how their equations relate to each other.
Lesson Summary
You will learn to find the equation of the line from the graph.
Key Notes
- Linear equations can be rearranged into the form y = mx + c
- The gradient (m) and the y-intercept (c) can be determined from the graph.
- The amount y changes when x increases by one is the rate of change and called the gradient.
- Where the graph crosses the y-axis is the value of the y-intercept.
- The equation of the line can be written in the form y = mx + c
Vocabulary To Learn
- Gradient: The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the y-direction with respect to the positive x-direction.
- Intercept: An intercept is the coordinate where a line or curve meets a given axis.
Common Mistakes To Avoid
- Writing equations of the form y = mx + c and getting the gradient and y-intercept the wrong way round.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Linear equations can be rearranged into the form y = mx + c. The gradient (m) and the y-intercept (c) can be determined from the graph.
2. Use this key word in a maths sentence and explain it clearly. 'Gradient'
The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the y-direction with respect to the positive x-direction. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Writing equations of the form y = mx + c and getting the gradient and y-intercept the wrong way round. Correction: Graphing software can be used to show that adding a constant is a translation of the graph. Remind pupils that the y-intercept is when x is zero which is why it is the constant in the equation. They can substitute x = 0 to check.
More Lessons In This Unit
- Advanced problem solving with linear graphs Study Guide
- Checking and securing understanding of drawing linear graphs Study Guide
- Checking and securing understanding of drawing vertical and horizontal graphs Study Guide
- Checking and securing understanding of finding the equation of the line from coordinates Study Guide
- Checking and understanding graphs showing direct proportion Study Guide
- Graphs showing inverse proportion Study Guide
- Identifying perpendicular linear graphs Study Guide
- Parallel and perpendicular lines on coordinate axes Study Guide
- Parallel linear graphs Study Guide
- Perpendicular linear graphs Study Guide
- Problem solving with linear graphs Study Guide
- Ratios in line segments on coordinate axes Study Guide
Browse all guides in the Year 10 Maths guide library.