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| − | ==Key Stage 4==
| + | #Redirect [[Directly Proportional]] |
| − | ===Meaning===
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| − | When two [[variable]]s are [[proportional]] their values have a constant [[ratio]].
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| − | ===About Proportional Graphs===
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| − | : A [[Scatter Graph|scatter graph]] showing a [[proportional]] relationship has a [[linear]] [[gradient]].
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| − | : On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] increases, the other increase or when one increases the other decreases.
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| − | : A [[proportional]] graph may have a non-zero [[y-intercept]].
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| − | : If the [[Line of Best Fit|line of best fit]] has a [[y-intercept]] of zero then it is called '[[Directly Proportional|directly '''proportional''']]'.
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| − | ===Examples===
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| − | {| class="wikitable"
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| − | |-
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| − | |[[File:ProportionalSketchGraph1.png|center|200px]]
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| − | |[[File:ProportionalSketchGraph2.png|center|200px]]
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| − | |[[File:DirectlyProportionalSketchGraph.png|center|200px]]
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| − | |-
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| − | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship that is [[proportional]] where x increases, y increases.
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| − | <math>y = mx + c</math>
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| − | | |
| − | Where m, the [[gradient]], is positive.
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| − | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship that is [[proportional]] where x increases, y decreases.
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| − | | |
| − | <math>y = mx + c</math>
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| − | | |
| − | Where m, the [[gradient]], is negative.
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| − | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship that is [[Directly Proportional|directly proportional]] where x doubles, y doubles.
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| − | | |
| − | <math>y = mx</math>
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| − | | |
| − | Where m, the [[gradient]], is positive.
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| − | |}
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