Proportional Relationship with Graphs

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 in a table?

Back

You can identify a proportional relationship in a table by dividing y by x; if the result is constant for all pairs, the relationship is proportional.

Front

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

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) between two proportional quantities, often represented as y = kx.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, select two points (x, y) and divide y by x.

Front

What does a straight line through the origin represent in a graph?

Back

A straight line through the origin represents a proportional relationship between the two variables.

Front

If the ratio of y to x is always 4.5, what is the relationship between x and y?

Back

The relationship between x and y is proportional, with a constant of proportionality of 4.5.

Front

What does the point (1, 200) represent in a proportional relationship?

Back

The point (1, 200) represents that for every 1 unit of x, y is 200, indicating a constant ratio.

Front

What is the significance of the origin (0, 0) in proportional relationships?

Back

The origin (0, 0) signifies that when x is 0, y is also 0, which is a characteristic of proportional relationships.

Front

How can you tell if a relationship is not proportional from a table?

Back

If the ratio of y to x is not constant across all pairs, the relationship is not proportional.