Proportionality Graphs, Tables, and Equations

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

What does the constant of proportionality (COP) represent?

Back

The constant of proportionality (COP) represents the constant ratio between two proportional quantities, often denoted as k in the equation y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the significance of the point (0, 0) in a direct variation graph?

Back

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

Front

Which equation represents a proportional relationship: y = 3x or y = 3x + 2?

Back

y = 3x represents a proportional relationship because it passes through the origin (0, 0).

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much of one quantity corresponds to one unit of another quantity.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot the points that represent the ratios and draw a straight line through the origin.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.