Identifying Proportional Relationships

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 on a graph?

Back

A proportional relationship on a graph is identified by a straight line that passes through the origin (0,0).

Front

What is the origin in a coordinate system?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0,0).

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 or if the relationship between the variables is not constant.

Front

What is the significance of the point (0,0) in proportional relationships?

Back

The point (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a requirement for proportionality.

Front

What is a key requirement for a line to be considered proportional?

Back

The line must start at the origin (0,0) to be considered proportional.

Front

How can you determine if a set of ordered pairs is proportional?

Back

You can determine if a set of ordered pairs is proportional by checking if the ratios of the y-values to the x-values are constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant ratio of the change in y to the change in x, which remains the same throughout.

Front

What does it mean for a table of values to be proportional?

Back

A table of values is proportional if the ratio of each y-value to its corresponding x-value is the same for all pairs.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.