Proportional Graphs and tables

Front

What is a proportional relationship in mathematics?

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

How can you identify a proportional graph?

Back

A proportional graph is identified by a straight line that passes through the origin (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 between the variables is not proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) represents a starting point where both quantities are zero, indicating that there is no relationship when one quantity is zero.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by a graph that does not form a straight line through the origin.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the y-coordinate in an ordered pair (x,y)?

Back

In the ordered pair (x,y), the y-coordinate is the second number, which represents the value of the dependent variable.

Front

What is the difference between proportional and non-proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs do not pass through the origin and may curve or have varying slopes.

Front

Can a graph be considered proportional if it has a slope of zero?

Back

Yes, a graph with a slope of zero (a horizontal line) is proportional if it passes through the origin.

Front

What is the relationship between the slope of a proportional graph and its constant ratio?

Back

The slope of a proportional graph represents the constant ratio between the two quantities, indicating how much one quantity changes in relation to the other.