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Directly Proportional

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Key Stage 4

Meaning

When two variables are directly proportional when one variable is multiplied by a factor, the other variable is multiplied by the same factor.

About Direct Proportionality

A scatter graph showing a directly proportional relationship has a linear gradient that passes through zero, it has a y-intercept of zero.
On a proportional scatter graph when one variable doubles, the other doubles or when one triples the other triples.

Examples

DirectlyProportionalSketchGraph.png
This scatter graph shows a linear relationship that is directly proportional where x doubles, y doubles.

\(y = mx\)

Where m, the gradient, is positive.