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Difference between revisions of "Linear"

(Examples)
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|[[File:DirectlyProportionalSketchGraph.png|center|200px]]
 
|[[File:DirectlyProportionalSketchGraph.png|center|200px]]
 
|-
 
|-
| 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.
+
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship where x increases and y increases.
  
 
<math>y = mx + c</math>
 
<math>y = mx + c</math>
  
 
Where m, the [[gradient]], is positive.
 
Where m, the [[gradient]], is positive.
| 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.
+
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[linear]] relationship where x increases and y decreases.
  
 
<math>y = mx + c</math>
 
<math>y = mx + c</math>

Revision as of 15:29, 5 December 2021

Key Stage 4

Meaning

Linear refers to a straight line.

About Linearity

A scatter graph with a straight line of best fit is referred to as a linear graph.
A linear graph has a constant gradient.

Examples

ProportionalSketchGraph1.png
ProportionalSketchGraph2.png
DirectlyProportionalSketchGraph.png
This scatter graph shows a linear relationship where x increases and y increases.

\(y = mx + c\)

Where m, the gradient, is positive.

This scatter graph shows a linear relationship where x increases and 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.