Graphing Proportional Relationships

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 quantity is constant.

Front

What does the horizontal axis represent in a graph?

Back

The horizontal axis (x-axis) typically represents the independent variable in a graph.

Front

What does the vertical axis represent in a graph?

Back

The vertical axis (y-axis) typically represents the dependent variable in a graph.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate can be found by dividing the value of the dependent variable by the value of the independent variable when the independent variable is equal to 1.

Front

What is the ordered pair for the origin on a graph?

Back

The ordered pair for the origin is (0, 0).

Front

What does it mean for a relationship to be linear?

Back

A linear relationship is one that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

How can you determine if a set of points represents a proportional relationship?

Back

A set of points represents a proportional relationship if they all lie on a straight line that passes through the origin.

Front

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

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

What is the significance of the point (1, k) in a proportional relationship?

Back

The point (1, k) represents the unit rate, where 'k' is the constant of proportionality.