Year 8 - Maths
The intercept point
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 calculate the intercept point from a graph and from two coordinate pairs.
Key Notes
- The y-intercept can be found by considering the graph.
- The y-intercept occurs when the x value is zero.
- The gradient can be found from two points.
- The y-intercept can be found using the gradient and one of the points.
- It is useful to check using the second point while understanding the limitations of this check.
Vocabulary To Learn
- 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.
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Common Mistakes To Avoid
- Writing the y intercept as a single value or getting the x and y coordinates the wrong way around.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The y-intercept can be found by considering the graph. The y-intercept occurs when the x value is zero.
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. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Writing the y intercept as a single value or getting the x and y coordinates the wrong way around. Correction: Encourage writing the y intercept as a coordinate. Stating 'lines cross the y axis when x=0' can help pupils write the coordinate correctly.
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 ay + bx + c = 0 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
- Using dynamic software to explore linear relationships Study Guide
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