Proportional Relationships in Graphs

The video tutorial explains how to graph proportional relationships and test for proportionality. It highlights that a proportional graph must pass through the origin and be a straight line. The tutorial provides examples to illustrate these concepts, showing how to determine if a relationship is proportional by checking if the graph passes through the origin and maintains a straight line. Key points are summarized to help identify proportional relationships on a graph.

What is a key characteristic of a proportional graph?

• It has multiple lines.

• It does not intersect the axes.

• It passes through the origin.

• It forms a curve.

How can you verify proportionality using points from a graph?

• By creating constant or equal ratios.

• By listing them in descending order.

• By ensuring they are all positive.

• By checking if they form a circle.

In the given example, why is the relationship considered proportional?

• Because it forms a curve.

• Because it is a straight line that passes through the origin.

• Because it is a horizontal line.

• Because it has multiple intersections.

What is the main reason the second example is not a proportional relationship?

• It does not pass through the origin.

• It forms a closed loop.

• It is not a straight line.

• It has a negative slope.

Which of the following is NOT a property of a proportional graph?

• It allows for constant ratios.

• It forms a closed shape.

• It passes through the origin.

• It is a straight line.

What should you remember when determining if a graph shows a proportional relationship?

• It should be a straight line and pass through the origin.

• It should have multiple curves.

• It should be a vertical line.

• It should not intersect any axis.