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Created page with "==Key Stage 4== ===Meaning=== When two variables are '''directly proportional''' when one variable is multiplied by a factor, the other variable is multiplied..."
==Key Stage 4==
===Meaning===
When two [[variable]]s 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|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.
===Examples===
{| class="wikitable"
|-
|[[File:DirectlyProportionalSketchGraph.png|center|300px]]
| style="height:20px; width:300px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship that is [[Directly Proportional|directly proportional]] where x doubles, y doubles.
<math>y = mx</math>
Where m, the [[gradient]], is positive.
|}
===Meaning===
When two [[variable]]s 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|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.
===Examples===
{| class="wikitable"
|-
|[[File:DirectlyProportionalSketchGraph.png|center|300px]]
| style="height:20px; width:300px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship that is [[Directly Proportional|directly proportional]] where x doubles, y doubles.
<math>y = mx</math>
Where m, the [[gradient]], is positive.
|}