Proportional Graphs

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 graph?

Back

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

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you identify a nonproportional graph?

Back

A nonproportional graph does not pass through the origin and may be curved or a straight line that does not start at (0,0).

Front

What is the constant of proportionality?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change and can be described by a linear equation.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality (k).

Front

Can a proportional relationship be represented in a table?

Back

Yes, a proportional relationship can be represented in a table where the ratios of corresponding values are constant.

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 when traveling at a constant speed.