Linear Graph - Revision history

NRJC: /* About Proportional Graphs */

2021-12-05T15:30:35Z

‎About Proportional Graphs

NRJC at 15:17, 5 December 2021

2021-12-05T15:17:22Z

NRJC: Created page with "==Key Stage 4== ===Meaning=== When a relationship between two variables is '''linear''' they increase by a constant amount in relation to one another. ===About Proportion..."

2021-12-05T15:14:40Z

Created page with "==Key Stage 4== ===Meaning=== When a relationship between two variables is '''linear''' they increase by a constant amount in relation to one another. ===About Proportion..."

New page

==Key Stage 4==
===Meaning===
When a relationship between two [[variable]]s is '''linear''' they increase by a constant amount in relation to one another.

===About Proportional Graphs===
: A [[Scatter Graph|scatter graph]] showing a '''linear''' relationship has straight [[Line of Best Fit|line of best fit]].
: 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]].
: 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===
{| class="wikitable"
|-
|[[File:ProportionalSketchGraph1.png|center|200px]]
|[[File:ProportionalSketchGraph2.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.

<math>y = mx + c</math>

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.

<math>y = mx + c</math>

Where m, the [[gradient]], is negative.
| 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.

<math>y = mx</math>

Where m, the [[gradient]], is positive.
|}

@@ Line 3: / Line 3: @@
 When a relationship between two [[variable]]s is '''linear''' they increase by a constant amount in relation to one another.
-===About Proportional Graphs===
+===About Linear Relationships===
 : A [[Scatter Graph|scatter graph]] showing a '''linear''' relationship has straight [[Line of Best Fit|line of best fit]].
 : On a '''linear graph'''; when one [[variable]] increases, the other increase or when one increases the other decreases.
 : A '''linear relationship''' may have a non-zero [[y-intercept]].
 : If the [[Line of Best Fit|line of best fit]] on for a '''linear relationship''' has a [[y-intercept]] of zero then it is called '[[Directly Proportional|directly '''proportional''']]'.
 ===Examples===
 {| class="wikitable"

@@ Line 5: / Line 5: @@
 ===About Proportional Graphs===
 : A [[Scatter Graph|scatter graph]] showing a '''linear''' relationship has straight [[Line of Best Fit|line of best fit]].
-: On a [[proportional]] [[Scatter Graph|scatter graph]] when one [[variable]] increases, the other increase or when one increases the other decreases.
+: On a '''linear 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 '''linear relationship''' 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''']]'.
+: If the [[Line of Best Fit|line of best fit]] on for a '''linear relationship''' has a [[y-intercept]] of zero then it is called '[[Directly Proportional|directly '''proportional''']]'.
 ===Examples===
 {| class="wikitable"
@@ Line 15: / Line 15: @@
 |[[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>
 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>