Proportional and Non-Proportional Relationships

The video tutorial explains the differences between proportional and non-proportional relationships using graphs. It highlights that non-linear relationships are always non-proportional, while linear relationships can be either proportional or non-proportional. A proportional relationship passes through the origin (0,0) on a graph, whereas a non-proportional one does not. The video also discusses the importance of a consistent slope in determining proportionality and concludes with a summary of these concepts.

What is a key characteristic of a non-linear relationship?

• It passes through the origin.

• It has a consistent slope.

• It is always non-proportional.

• It is always proportional.

How can you determine if a linear relationship is proportional?

• It has a y-intercept of zero.

• It is non-linear.

• It passes through the origin.

• It has a consistent slope.

What is the significance of the origin in determining proportionality?

• It indicates a non-linear relationship.

• It indicates a proportional relationship.

• It indicates a non-proportional relationship.

• It indicates a negative slope.

What does a y-intercept that is not zero indicate in a linear relationship?

• The relationship is proportional.

• The relationship is non-linear.

• The relationship has a positive slope.

• The relationship is non-proportional.

Which of the following is true about a non-proportional linear relationship?

• It has a y-intercept that is not zero.

• It has a consistent slope.

• It passes through the origin.

• It is non-linear.

What is a common feature of non-proportional relationships?

• They have a y-intercept of zero.

• They pass through the origin.

• They have a consistent slope.

• They have a y-intercept that is not zero.

What must be true for a linear relationship to be proportional?

• It must be non-linear.

• It must have a y-intercept of zero.

• It must pass through the origin.

• It must have a negative slope.

What is necessary for a linear relationship to have a consistent slope?

• The slope must be zero.

• The slope must be the same between each point.

• The slope must be negative.

• The slope must be positive.

What does a graph with a consistent slope indicate?

• The relationship is proportional.

• The relationship is non-linear.

• The relationship has a y-intercept of zero.

• The relationship is non-proportional.

What does a curvy graph indicate about the relationship?

• It is proportional.

• It has a consistent slope.

• It is linear.

• It is non-linear.