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 quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented in the equation y = kx.

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 is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx.

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

Can a table represent a proportional relationship?

Back

Yes, a table can represent a proportional relationship if the ratios of the 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.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship is one that can be represented by a straight line on a graph.

Front

If k = 6 in the equation y = kx, what is the value of y when x = 2?

Back

If k = 6 and x = 2, then y = 6 * 2 = 12.

Front

What is the significance of the slope in a proportional relationship?

Back

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