Proportional relationships from graphs w/ Explanations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

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.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis.

Front

What does it mean if a graph has a y-intercept of 0?

Back

A y-intercept of 0 means the graph passes through the origin, indicating a proportional relationship.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or has a y-intercept that is not zero.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one quantity increases, the other quantity decreases.

Front

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

Back

In a proportional relationship, the slope is constant and represents the ratio of the two quantities.