Review Proportional Relationships Tables, Graphs & Equaitons

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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How do 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 does the slope of a graph represent in a proportional relationship?

Back

The slope of a graph in a proportional relationship represents the constant of proportionality.

Front

What is the equation of a line that passes through the origin in a proportional relationship?

Back

The equation is y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does the point (0, 0) represent in a proportional relationship graph?

Back

The point (0, 0) represents the origin, indicating that when one quantity is zero, the other quantity is also zero.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0, meaning the line passes through the origin.

Front

If the equation is y = 5x, what does this tell you about the relationship between x and y?

Back

This tells you that for every 1 unit increase in x, y increases by 5 units.