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Year 10 - Maths

Ratios in line segments on coordinate axes

Linear graphs

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 use ratios to divide a line segment and find the coordinates of a point on the line.

Key Notes

  • Your knowledge of ratios can be applied here.
  • The ratio can be applied to both the x and y distances.
  • Your knowledge of similar triangles explains why this works for diagonal lines.

Vocabulary To Learn

  • Midpoint: The midpoint of a line segment is halfway between the two end points.

Common Mistakes To Avoid

  • P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A.

3 Quick Questions (With Answers)

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

Your knowledge of ratios can be applied here. The ratio can be applied to both the x and y distances.

2. Use this key word in a maths sentence and explain it clearly. 'Midpoint'

The midpoint of a line segment is halfway between the two end points. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A. Correction: There are 4 equal parts in total, meaning that point P is a quarter of the distance of AB from A.

More Lessons In This Unit

Browse all guides in the Year 10 Maths guide library.