Proportionality with Proportional Graphs and Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does the constant of proportionality represent in a graph?

Back

In a graph, the constant of proportionality represents the slope of the line, indicating how much y changes for a unit change in x.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically in the form y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if the ratio of y to x is not constant.

Front

How do you determine if a table is proportional or non-proportional?

Back

To determine if a table is proportional, check if the ratio of y to x is the same for all pairs of values.

Front

What is the significance of the origin in proportional graphs?

Back

In proportional graphs, the line passes through the origin (0,0), indicating that when x is 0, y is also 0.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equal to the slope of the line in a proportional relationship.

Front

What does a slope of 0 indicate in a graph?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes, which is non-proportional.