proportional or non-proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning that 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 that the relationship does not maintain a consistent rate of change.

Front

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

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional, as both quantities are zero at that point.

Front

How can you tell if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a constant and there is no constant term added or subtracted.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph intersects the y-axis. If the y-intercept is not zero, the relationship is non-proportional.

Front

What does the slope of a line represent in a proportional relationship?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

What does it mean if a graph is linear?

Back

A linear graph represents a relationship that can be described by a linear equation, which may be either proportional or non-proportional.

Front

How can you identify a proportional graph?

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.