12.7 Graphing Proportional Relationship

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 from a table of values?

Back

If the ratio of y to x is the same for all pairs of values, then the relationship is proportional.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph intersects the y-axis; in a proportional relationship, this point is (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How do you determine if a graph is proportional or non-proportional?

Back

A graph is proportional if it is a straight line that passes through the origin; otherwise, it is non-proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates the two quantities in a proportional relationship.

Front

If y = 2x, is this a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx, where k = 2.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.