Graphs of Proportional Relationships Flashcards

GCSE Mathematics (Edexcel) 1MA1

Proportional relationship

A relationship where two quantities increase or decrease at the same rate, forming a straight line through the origin on a graph.

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Terms in this set (10)

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Proportional relationship

A relationship where two quantities increase or decrease at the same rate, forming a straight line through the origin on a graph.

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Graph of a proportional relationship

A straight line that passes through the origin (0, 0).

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Gradient in proportional relationships

The gradient represents the constant of proportionality (k) in the relationship y = kx.

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Equation of a proportional relationship

y = kx, where k is the constant of proportionality.

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Constant of proportionality

The value of k in the equation y = kx, which represents the rate of change between the two variables.

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Identifying proportionality from a graph

Check if the graph is a straight line passing through the origin.

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Interpreting the gradient

The gradient of the line shows how much y changes for a unit change in x.

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Proportional relationship in a table

The ratio y/x is constant for all pairs of values in a proportional relationship.

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Real-life example of proportionality

Distance travelled is proportional to time when travelling at a constant speed.

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Non-proportional relationship

A graph that does not pass through the origin or is not a straight line is not proportional.

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