Proportional Relationships in Tables, Graphs, and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

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 the slope of a line in a proportional relationship represent?

Back

The slope represents the constant ratio between the two quantities.

Front

What is the equation of a proportional relationship?

Back

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

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

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 not proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

How can you tell if two quantities are proportional using equations?

Back

Two quantities are proportional if their equations can be simplified to the form y = kx.

Front

What is an example of a proportional relationship in real life?

Back

An example 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.