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 is constant.

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 origin in a graph?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant, and the graph does not pass through the origin.

Front

How can you determine if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values in the table, then it represents a proportional relationship.

Front

What is the requirement for a line to be considered proportional on a graph?

Back

The line must start at the origin (0,0).

Front

If a graph is not a straight line, what can we conclude about its relationship?

Back

If a graph is not a straight line, it indicates a non-proportional relationship.

Front

What does it mean if a graph passes through the point (0,0)?

Back

If a graph passes through the point (0,0), it indicates that the relationship is proportional.

Front

What is an ordered pair in the context of a graph?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

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

Back

In a proportional relationship, the slope of the line is constant and represents the ratio of y to x.