Proportional vs Non-Proportional Relationships

What is the key feature of a graph that indicates it is proportional?

• It has a positive slope.

• It passes through the origin (0,0).

• It has a negative slope.

• It intersects the y-axis at any point.

If a graph does not pass through the origin, what can be concluded?

• It is a non-proportional graph.

• It is a proportional graph.

• It is a non-linear graph.

• It is a linear graph.

What should you look for at the end of an equation to determine if it is proportional?

• An additional constant like +2 or -3.

• A division sign.

• A variable.

• A multiplication sign.

Which of the following equations is proportional?

• y = 3 + 2x

• y = 2x + 3

• y = 4x

• y = x - 5

Which of the following is a sign that an equation is not proportional?

• It has a variable.

• It has a constant rate of change.

• It includes an additional constant.

• It passes through the origin.

How can you identify a proportional equation written in a different form?

• By confirming it passes through the origin.

• By checking if it has a constant rate of change.

• By verifying it has a positive slope.

• By ensuring it has no additional constants.

What method is used to determine if a table is proportional?

• Using the slope-intercept form.

• Using the constant rate of change method.

• Checking if the y-values are equal.

• Checking if the x-values are equal.

In a proportional table, what should the result of y divided by x be?

• Negative for each pair of values.

• Different for each pair of values.

• Zero for each pair of values.

• Equal for each pair of values.

If the values of y divided by x are different in a table, what does it indicate?

• The table is non-linear.

• The table is linear.

• The table is non-proportional.

• The table is proportional.

What is the constant rate of change in a proportional table?

• The difference between y-values.

• The sum of y and x.

• The difference between x-values.

• The ratio of y to x.