Difference between revisions of "Linear"
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: A [[Scatter Graph|scatter graph]] with a straight [[Line of Best Fit|line of best fit]] is referred to as a [[linear]] graph. | : A [[Scatter Graph|scatter graph]] with a straight [[Line of Best Fit|line of best fit]] is referred to as a [[linear]] graph. | ||
: A '''linear''' graph has a constant [[gradient]]. | : A '''linear''' graph has a constant [[gradient]]. | ||
| + | |||
| + | ===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. | ||
| + | |} | ||
Revision as of 10:27, 25 March 2019
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
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 |
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| 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. |