Difference between revisions of "Linear Graph"

Revision as of 15:17, 5 December 2021

Key Stage 4

Meaning

When a relationship between two variables is linear they increase by a constant amount in relation to one another.

About Proportional Graphs

A scatter graph showing a linear relationship has straight 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 on for a linear relationship has a y-intercept of zero then it is called 'directly proportional'.

Examples


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.

@@ 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>