Module 5 Flashcard Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another. In this case, it is 15.

Front

Does the table represent a proportional relationship?

Back

Yes, a proportional relationship is one where the ratio between the quantities remains constant.

Front

Which graph is proportional?

Back

All of the graphs are proportional if they all pass through the origin and maintain a constant ratio.

Front

Does this graph show a proportional relationship?

Back

Yes, if the graph is a straight line that passes through the origin.

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2, calculated as (y2 - y1) / (x2 - x1) = (12 - 4) / (6 - 2).

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How do you determine if a relationship is proportional from a table?

Back

Check if the ratios of corresponding values are equal for all pairs.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope represents the constant of proportionality in a linear relationship.