Difference between revisions of "Linear Graph"
(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...") |
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===About Proportional Graphs=== | ===About Proportional Graphs=== | ||
: A [[Scatter Graph|scatter graph]] showing a '''linear''' relationship has straight [[Line of Best Fit|line of best fit]]. | : A [[Scatter Graph|scatter graph]] showing a '''linear''' relationship has straight [[Line of Best Fit|line of best fit]]. | ||
− | : On a | + | : On a '''linear graph'''; when one [[variable]] increases, the other increase or when one increases the other decreases. |
− | : A | + | : 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=== | ===Examples=== | ||
{| class="wikitable" | {| class="wikitable" | ||
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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 | + | | 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 | + | | 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 15:17, 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. |