Proportional Relationships in Tables, Graphs, & 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

What does it mean for a graph to represent a proportional relationship?

Back

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

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because proportional relationships must pass through this point to maintain a constant ratio.

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 is the formula for a proportional relationship?

Back

The formula for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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 do you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship in a graph can be identified if the line does not pass through the origin or if it is not a straight line.

Front

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

Back

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

Front

What is the relationship between slope and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.

Front

How can you use a graph to solve application-based questions?

Back

You can use a graph to find values by locating points on the line that represent the relationship between the quantities.