Year 10 - Maths
Checking and securing understanding of drawing linear graphs
Linear graphs
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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 draw a linear graph from its equation and relate the features of the graph to its equation.
Key Notes
- It is possible to identify the gradient and y-intercept when the equation is written in the form y = mx + c
- Linear equations can be rearranged in order to reveal the gradient and y-intercept.
- By substituting in values for one variable, you can find a corresponding values for the other.
- These pairs of values can be plotted to give the graph of the equation.
Vocabulary To Learn
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
- Gradient: The gradient is a measure of how steep a line is.
- Intercept: An intercept is the coordinate where a line or curve meets a given axis.
Common Mistakes To Avoid
- Only two pairs of coordinates are needed to plot a linear graph.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It is possible to identify the gradient and y-intercept when the equation is written in the form y = mx + c. Linear equations can be rearranged in order to reveal the gradient and y-intercept.
2. Use this key word in a maths sentence and explain it clearly. 'Linear'
The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Only two pairs of coordinates are needed to plot a linear graph. Correction: Whilst true, this can cause issues if one pair of coordinates is calculated incorrectly. Encourage pupils to check a third point to ensure they are correct.
More Lessons In This Unit
- Advanced problem solving with 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 securing understanding of finding the equation of the line from the graph 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
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