Proportional vs. Non-Proportional Relationships in Graphs and Equations

What are the two main characteristics of a proportional relationship in a graph?

• The line is curved and passes through the origin.

• The line is curved and does not pass through the origin.

• The line is straight and does not pass through the origin.

• The line is straight and passes through the origin.

Which of the following is true for a non-proportional relationship in a graph?

• The line is curved and passes through the origin.

• The line is straight and passes through the origin.

• The line is straight and does not pass through the origin.

• The line is not straight or does not pass through the origin.

In a proportional relationship equation, what operation is primarily involved?

• Subtraction

• Addition

• Division

• Multiplication

What does the presence of a y-intercept in an equation indicate?

• The equation is invalid.

• The relationship is proportional.

• The relationship is non-proportional.

• The equation is linear.

How do you determine if a table represents a proportional relationship?

• By checking if the ratios of X divided by Y are equal.

• By checking if the sum of X and Y is constant.

• By checking if the difference between X and Y is constant.

• By checking if the ratios of Y divided by X are equal.

What should you do with the zero values when checking for proportionality in tables?

• Subtract them from the other values.

• Multiply them by the other values.

• Skip them in the calculations.

• Include them in the calculations.

In a non-proportional relationship table, what indicates the relationship?

• The ratios of X divided by Y are equal.

• The ratios of Y divided by X are not equal.

• The sum of X and Y is constant.

• The ratios of Y divided by X are equal.

What is the key difference between proportional and non-proportional relationships in tables?

• Proportional relationships have equal ratios of Y divided by X.

• Non-proportional relationships have equal ratios of Y divided by X.

• Non-proportional relationships have a constant sum of X and Y.

• Proportional relationships have a constant sum of X and Y.

What is a quick visual check for proportionality in graphs?

• Check if the line is curved.

• Check if the line passes through the origin.

• Check if the line is horizontal.

• Check if the line is vertical.

What operations indicate a non-proportional relationship in an equation?

• Addition, subtraction, multiplication, and division.

• None of the above.

• Only addition and subtraction.

• Only multiplication and division.