Proportional Relationship with 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

What does it mean if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin (0,0) or if the relationship between the variables is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin.

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

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does the equation y = 1/2x represent?

Back

The equation y = 1/2x represents a proportional relationship where the constant of proportionality is 1/2.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Front

If a graph intersects the y-axis at (0, 2), is it proportional?

Back

No, it is not proportional because it does not pass through the origin.

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

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

Back

A relationship is proportional if the ratios of corresponding values are constant.