Proportional Vs Non Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Front

What is the y-intercept of a proportional relationship?

Back

The y-intercept of a proportional relationship is always 0, meaning the line passes through the origin (0,0).

Front

What does the slope represent in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant ratio between the two quantities.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratio of the y-values to the x-values is constant for all pairs of values.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to 0.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What does a slope of 0 indicate in a relationship?

Back

A slope of 0 indicates a horizontal line, which represents a constant value for y regardless of x, indicating a non-proportional relationship.

Front

What does a slope of infinity indicate in a relationship?

Back

A slope of infinity indicates a vertical line, which is not a function and does not represent a proportional relationship.