Flashcard #2-2: Graphing Proportional Relationships

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 do you find the constant of proportionality from a table?

Back

The constant of proportionality can be found by dividing one quantity by the other in the table, as long as both quantities are non-zero.

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

If Justin types 408 words in 4 minutes, how do you calculate his typing speed in words per minute?

Back

Divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

Front

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

Back

The slope of the line represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

How can you determine the cost per pound from a graph?

Back

The cost per pound can be determined by finding the y-value (cost) for a given x-value (pounds) on the graph.

Front

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

Back

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

Front

How do you write an equation from a given slope?

Back

To write an equation from a given slope, use the form y = kx, substituting k with the given slope value.

Front

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

Back

The constant of proportionality is equal to the slope of the line in a graph of a proportional relationship.

Front

If a line passes through the origin, what does that indicate about the relationship?

Back

If a line passes through the origin, it indicates a proportional relationship between the two quantities.