Explore families of straight lines
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Log in to continueUse tables and graphs to investigate what gradient and intercept change.
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For y = x + 3, x increases by 2. By how much does y change? Give a signed change.
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Answer: 2
- The gradient 1 gives the change in y for one unit of x.
- For a change of 2 in x, the change in y is 1 × 2 = 2.
- 1 × 2 = 2.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use tables and graphs to investigate what gradient and intercept change.
Read the official VCAA curriculum description (VC2M8A05)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8A05-C01Test patterns in the gradient of linear functions.
- VC2M8A05-C02Test how changing the intercept affects a linear function.
- VC2M8A05-C03Use digital graphs to make and test conjectures about linear parameters and communicate a generalisation.
- VC2M8A05-C04Apply and explain explore families of straight lines using read and connect representations.
- VC2M8A05-C05Apply and explain explore families of straight lines using calculate and explain each step.
- VC2M8A05-C06Apply and explain explore families of straight lines using work backwards from what is known.
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Subskills
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Descriptor-derived subskills
- D01Steepness is a rate of changeTest patterns in the gradient of linear functions.
- D02Move a line up or downTest how changing the intercept affects a linear function.
- D03Read and connect representationsApply and explain explore families of straight lines using read and connect representations.
- D04Calculate and explain each stepApply and explain explore families of straight lines using calculate and explain each step.
- D05Work backwards from what is knownApply and explain explore families of straight lines using work backwards from what is known.