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Graphs of Proportional Relationships Flashcards
GCSE Mathematics (Edexcel) 1MA1
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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.
Graph of a proportional relationship
A straight line that passes through the origin (0, 0).
Gradient in proportional relationships
The gradient represents the constant of proportionality (k) in the relationship y = kx.
Equation of a proportional relationship
y = kx, where k is the constant of proportionality.
Constant of proportionality
The value of k in the equation y = kx, which represents the rate of change between the two variables.
Identifying proportionality from a graph
Check if the graph is a straight line passing through the origin.
Interpreting the gradient
The gradient of the line shows how much y changes for a unit change in x.
Proportional relationship in a table
The ratio y/x is constant for all pairs of values in a proportional relationship.
Real-life example of proportionality
Distance travelled is proportional to time when travelling at a constant speed.
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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