Grade 7–9Curriculum · Maths: algebra
Linear Functions y = kx + m — Worksheets with Answers
Practise straight lines with new numbers every time: values, slope, points on the line and the full equation.
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Topics on this worksheet
Areas on this sheet
- Relationships and change · 20Linear functions, proportionality, percentage change and interest.
Linear functions y = kx + m · 14-16 years
Name: ____________________Answer key
- 1. −1
- 2. y = −22
- 3. y = 2x − 7
- 4. 1
- 5. 4
- 6. y = 6
- 7. y = 2
- 8. y = −3
- 9. −3
- 10. −4
- 11. y = 2
- 12. 5
- 13. y = −x + 8
- 14. y = 4x − 5
- 15. y = −6
- 16. y = 6
- 17. y = −x − 3
- 18. y = 0
- 19. Yes
- 20. y = −4
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How to use the tool
- Choose the exercise type linear functions.
- Pick age group 12–14 or 14–16, difficulty and calculations, word problems or a mix.
- Print or save as PDF. “Create New Version” gives new numbers with a matching answer key.
About this generator
Linear functions describe steady change, such as a phone plan or a taxi fare. The sheets start with putting x into y = kx + m, then calculate the slope k from two points, decide whether a point lies on the line and finally find the whole equation from two points. Negative slopes and intercepts appear on the harder levels. The answer key is calculated by the website, so it always matches the tasks. No sign-up is needed and no personal data is collected.
Popular uses
- Introducing y = kx + m
- Slope from two points
- Revision before a test
- Homework with answer key
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Frequently asked questions
- How do I find the slope?
- k = (y₂ − y₁) / (x₂ − x₁) using two points on the line.
- What does m mean?
- m is where the line crosses the y-axis, the value of y when x = 0.