Proportional Relationships: Graphs, Tables & 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 is the constant of proportionality?

Back

The constant of proportionality (k) is the constant ratio in a proportional relationship, represented as y = kx.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x.

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

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

Back

If the ratios of y to x are constant for all pairs of values, the table represents a proportional relationship.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

It means that the relationship between the variables is not constant, and the graph will not be a straight line through the origin.

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 formula to find y when given x in a proportional relationship?

Back

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

Front

If k = 3, what is y when x = 4?

Back

y = 3 * 4 = 12.