Parallel and perpendicular gradients
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Log in to continueUse equal gradients or negative reciprocals and recognise horizontal–vertical exceptions.
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A line has equation y = (2)x + (-5). What gradient must a parallel line have?
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Answer: 2
- Parallel non-vertical lines have the same gradient.
- The given gradient is 2.
- 2 × 1 = 2.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use equal gradients or negative reciprocals and recognise horizontal–vertical exceptions.
Read the official VCAA curriculum description (VC2M10A10)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10A10-C01Compare the gradients of non-vertical lines.
- VC2M10A10-C02Use the negative reciprocal when both gradients are finite and non-zero.
- VC2M10A10-C03Construct and verify a perpendicular line in a spatial problem.
- VC2M10A10-C04Apply and explain parallel and perpendicular gradients using calculate and explain each step.
- VC2M10A10-C05Apply and explain parallel and perpendicular gradients using work backwards from what is known.
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Subskills
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Descriptor-derived subskills
- D01Same directionCompare the gradients of non-vertical lines.
- D02Meet at a right angleUse the negative reciprocal when both gradients are finite and non-zero.
- D03Calculate and explain each stepApply and explain parallel and perpendicular gradients using calculate and explain each step.
- D04Work backwards from what is knownApply and explain parallel and perpendicular gradients using work backwards from what is known.