Identifying Proportional Relationships (Graph, table, &equation)

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

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

Front

What does the constant of proportionality represent?

Back

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

Front

Which equation represents a proportional relationship? y = 4x or y = 2x + 1?

Back

y = 4x represents a proportional relationship because it is in the form y = kx.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If y = 2x represents a proportional relationship, what happens to y if x is doubled?

Back

If x is doubled, y will also double, maintaining the proportional relationship.

Front

What is the definition of a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

How can you tell if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values are the same.

Front

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

Back

The slope of a line in a proportional relationship is equal to 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.