Open main menu

Linear Graph

Revision as of 15:14, 5 December 2021 by NRJC (talk | contribs) (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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 proportional 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 has a y-intercept of zero then it is called 'directly proportional'.

Examples

ProportionalSketchGraph1.png
ProportionalSketchGraph2.png
DirectlyProportionalSketchGraph.png
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.