Proportional Relationships 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 is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you identify a proportional relationship from a table?

Back

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

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation where y varies directly with x, and k is the constant of proportionality.

Front

Which of the following equations represents a proportional relationship: y = 3x or y = x + 2?

Back

y = 3x represents a proportional relationship, while y = x + 2 does not.

Front

If the constant of proportionality is 5, what is the equation?

Back

The equation is y = 5x.

Front

What is the graphical representation of a proportional relationship?

Back

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

Front

How can you determine if an equation is non-proportional?

Back

An equation is non-proportional if it includes a constant term that does not multiply the variable, such as y = x + b (where b ≠ 0).

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.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.