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 quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, determine the slope of the line, which represents the change in y for a unit change in x.

Front

What does the point (1, k) represent in a proportional graph?

Back

The point (1, k) represents the value of y when x is 1, which is the constant of proportionality.

Front

What is the significance of the origin (0,0) in a proportional graph?

Back

The origin (0,0) signifies that when there is no input (x=0), the output (y) is also zero, indicating a direct relationship.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.