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Year 9 - Maths

Efficiently drawing linear graphs

Graphical representations

Unit Summary

In this unit pupils draw, interpret and utilise linear graphs to solve problems. This knowledge is further extended to look at intersecting graphs.

Lesson Summary

You will learn to draw a linear graph efficiently and accurately.

Key Notes

  • By choosing pairs of values that satisfy the equation, you can draw it accurately.
  • For linear graphs, only two pairs of coordinates are required.
  • The distance between the points should not be too small.

Vocabulary To Learn

  • 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

  • A table of values should always be filled in and all points plotted in order to graph a linear equation.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

By choosing pairs of values that satisfy the equation, you can draw it accurately. For linear graphs, only two pairs of coordinates are required.

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: A table of values should always be filled in and all points plotted in order to graph a linear equation. Correction: A linear equation will form a straight line graph therefore we only need to know two points in order to draw the line.

More Lessons In This Unit

Browse all guides in the Year 9 Maths guide library.