Proportional relationships in 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 relationship in a graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented by 'k' in the equation y = kx.

Front

If y = 50x, what is the constant of proportionality?

Back

The constant of proportionality is 50.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratio between the two quantities is not constant.

Front

How can you tell if a set of points on a graph is proportional?

Back

If the points form a straight line through the origin, the relationship is proportional.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What does the slope of a line in a proportional relationship represent?

Back

The slope represents the constant of proportionality.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.