103 2-5 Constant of Proportionality (Graph)

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional to each other.

Front

How can you identify if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two variables remains constant and can be represented by a straight line through the origin on a graph.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two variables is not constant, and the graph does not pass through the origin.

Front

What is the constant of proportionality for the equation y = kx?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in y to the change in x.

Front

What is the constant of proportionality for the equation y = 2x?

Back

The constant of proportionality for the equation y = 2x is k = 2.

Front

Which of the following equations is proportional: y = 3x or y = 3x + 1?

Back

The equation y = 3x is proportional, while y = 3x + 1 is not proportional because it does not pass through the origin.

Front

What is the significance of the point (0,0) in a proportional relationship?

Back

The point (0,0) indicates that when the independent variable is zero, the dependent variable is also zero, which is a characteristic of proportional relationships.

Front

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

Back

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

Front

What is the constant of proportionality for a graph where the line passes through (0, 40) and (1, 40)?

Back

The constant of proportionality for this graph is 40.