Proportional Relationships -- Tables, Equations, and 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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope represents the constant rate of change or the unit rate of the relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the point (x, y) represent in a proportional relationship?

Back

It represents a specific quantity of x and its corresponding quantity of y, maintaining the constant ratio.

Front

How do you find the constant of proportionality (k)?

Back

You can find k by dividing y by x (k = y/x).

Front

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

Back

In a proportional relationship, the y-intercept is always 0, indicating that when x is 0, y is also 0.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

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

Back

It indicates that when 1 unit of x is used, y equals k, which is the constant of proportionality.

Front

How can you represent a proportional relationship using a graph?

Back

You can represent it with a straight line that passes through the origin (0,0).