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Difference between revisions of "Proportional"

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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.
 
: On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] increases, the other increase or when one increases the other decreases.
 
: A [[proportional]] graph may have a non-zero [[y-intercept]].
 
: A [[proportional]] graph may have a non-zero [[y-intercept]].
 
+
: If the [[Line of Best Fit|line of best fit]] has a [[y-intercept]] of zero then it is called '[[Directly Proportional|directly '''proportional''']]'.
 
===Examples===
 
===Examples===
 
{| class="wikitable"
 
{| class="wikitable"

Revision as of 10:30, 25 March 2019

Key Stage 4

Meaning

When two variables are proportional they change together by a constant amount.

About Proportional Graphs

A scatter graph showing a proportional relationship has a linear gradient.
On a proportional scatter graph when one variable increases, the other increase or when one increases the other decreases.
A proportional graph may have a non-zero y-intercept.
If the line of best fit has a y-intercept of zero then it is called 'directly proportional'.

Examples

ProportionalSketchGraph1.png
ProportionalSketchGraph2.png
DirectlyProportionalSketchGraph.png
This scatter graph shows a linear relationship that is proportional where x increases, y increases.

\(y = mx + c\)

Where m, the gradient, is positive.

This scatter graph shows a linear relationship that is proportional where x increases, y decreases.

\(y = mx + c\)

Where m, the gradient, is negative.

This scatter graph shows a linear relationship that is directly proportional where x doubles, y doubles.

\(y = mx\)

Where m, the gradient, is positive.