Year 8 - Maths
Finding the equation of the line ay + bx + c = 0
Graphical representations of linear equations
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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 unti we develop understanding of linear relationships and explore the key features of a linear equation such as the gradient, intercept and determining an equation from coordinate pairs.
Lesson Summary
You will learn to appreciate that writing linear equations in the form ay + bx + c = 0 may be more appropriate.
Key Notes
- Linear equations can be written in multiple forms.
- One of these forms is ay + bx + c = 0.
- This form can be more appropriate in some contexts and situations.
Vocabulary To Learn
- Equation of a line: An equation of a line is any equation whose graph forms a straight line.
Common Mistakes To Avoid
- To draw the graph using the gradient and intercept you can just count the squares.
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 written in multiple forms. One of these forms is ay + bx + c = 0.
2. Use this key word in a maths sentence and explain it clearly. 'Equation of a line'
An equation of a line is any equation whose graph forms a straight line. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: To draw the graph using the gradient and intercept you can just count the squares. Correction: Encourage pupils to look at the scales on the axes carefully when drawing a line given the gradient and y-intercept.
More Lessons In This Unit
- Checking and securing plotting a relationship Study Guide
- Checking and securing understanding of plotting coordinates Study Guide
- Checking and securing understanding of plotting coordinates generated from a rule Study Guide
- Checking and securing understanding of plotting coordinates with technology Study Guide
- Defining features of linear relationships Study Guide
- Features of linear relationships Study Guide
- Finding the equation of the line y = mx + c Study Guide
- Negative rate of change from a graph Study Guide
- Positive rate of change from a graph Study Guide
- Problem solving with graphing linear relationships Study Guide
- Rate of change from a coordinate pair Study Guide
- The equation of a straight line Study Guide
- The intercept point Study Guide
- Using dynamic software to explore linear relationships Study Guide
Browse all guides in the Year 8 Maths guide library.