Difference between revisions of "Directly Proportional"
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: A [[Scatter Graph|scatter graph]] showing a '''directly proportional''' relationship has a [[linear]] [[gradient]] that passes through zero, it has a [[y-intercept]] of zero. | : A [[Scatter Graph|scatter graph]] showing a '''directly proportional''' relationship has a [[linear]] [[gradient]] that passes through zero, it has a [[y-intercept]] of zero. | ||
: On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] doubles, the other doubles or when one triples the other triples. | : On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] doubles, the other doubles or when one triples the other triples. | ||
| + | : When two variables are '''directly proportional''' when any value for y is divided by its corresponding value for x it will always give a constant value. | ||
| + | : Two variables are said to be '''directly proportional''' when they always vary by the same ratio. | ||
===Examples=== | ===Examples=== | ||
Revision as of 15:21, 5 December 2021
Contents
Key Stage 4
Meaning
When two variables are directly proportional when one variable is multiplied by a factor, the other variable is multiplied by the same factor.
About Direct Proportionality
- A scatter graph showing a directly proportional relationship has a linear gradient that passes through zero, it has a y-intercept of zero.
- On a proportional scatter graph when one variable doubles, the other doubles or when one triples the other triples.
- When two variables are directly proportional when any value for y is divided by its corresponding value for x it will always give a constant value.
- Two variables are said to be directly proportional when they always vary by the same ratio.
Examples
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This scatter graph shows a linear relationship that is directly proportional where x doubles, y doubles.
\(y = mx\) Where m, the gradient, is positive. |
References
AQA
- Directly proportional, pages 158-159, 282, GCSE Physics; Third Edition, Oxford University Press, AQA