Maths Standard Year 11 - Module 1 - Lesson 11

Intercepts and Linear Equations

Practise identifying gradients, intercepts and practical linear equations.

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1. Key Ideas

  • In y = mx + b, m is the gradient or rate.
  • In y = mx + b, b is the intercept or starting value.
  • The intercept is the output when the input is zero.

2. Success Criteria

  • I can identify gradient and intercept from an equation.
  • I can write a linear equation from a context or table.
  • I can use the equation to make a prediction.

3. Short Answer Questions

1. A taxi fare is $8 plus $2.50 per kilometre. Write an equation for cost C after k kilometres. 3 marks

2. In S = 120 + 25w, explain the meaning of 120 and 25. 2 marks

3. Use S = 120 + 25w to find S when w = 8. 2 marks

4. Write the equation for this table, then predict the output for input 6. 4 marks

Input0123
Output18253239

5. Explain why the intercept is not the repeated change. 2 marks