Constant of Proportionality - Graphs & Tables (no equations)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the ratio between two proportional quantities, often represented as 'k' in equations. It remains constant throughout the relationship.

Front

How can you identify a proportional relationship in a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

Front

What is a proportional table?

Back

A proportional table shows pairs of numbers that maintain a constant ratio. For example, if one number doubles, the other number also doubles.

Front

How do you find the Constant of Proportionality from a table?

Back

To find the Constant of Proportionality, divide the value of one quantity by the corresponding value of the other quantity in the table.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

How can you tell if a table is non-proportional?

Back

A table is non-proportional if the ratios of the corresponding values are not the same.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it indicates the value of the dependent variable when the independent variable is zero.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the Constant of Proportionality.