Exploring Proportional Graphs

The video tutorial explains how to determine if a relationship is proportional using graphs. It highlights two key criteria: the graph must form a straight line and pass through the origin (0,0). The tutorial includes examples and practice problems to reinforce these concepts, guiding students to check for proportionality by examining the graph's line and its intersection with the origin.

What are the two criteria for a graph to represent a proportional relationship?

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

• It must be a curved line and pass through the origin.

• It must be a curved line and pass through any point.

• It must be a straight line and pass through any point.

Why must a proportional relationship graph pass through the origin?

• Because the origin is the endpoint of the graph.

• Because the origin is the midpoint of the graph.

• Because the origin represents the starting point where nothing has happened.

• Because the origin represents the maximum value.

In the first example, does the graph form a straight line?

• Only partially

• It is not clear

• No

• Yes

Does the first example graph pass through the origin?

• No

• Yes

• It is not clear

• Only partially

What is the conclusion for the first example graph?

• It is unclear.

• It is partially proportional.

• It is not proportional.

• It is proportional.

In the second example, does the graph form a straight line?

• It is not clear

• Only partially

• No

• Yes

Does the second example graph pass through the origin?

• It is not clear

• Yes

• No

• Only partially

What is the conclusion for the second example graph?

• It is partially proportional.

• It is not proportional.

• It is unclear.

• It is proportional.

What should you do before the teacher continues with the next part of the lesson?

• Rewatch the previous section.

• Pause the video and try the next two problems.

• Ask a friend for help.

• Skip to the end of the video.

What are the two key points to remember when checking a graph for proportionality?

• It must be a curved line and pass through the origin.

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

• It must be a straight line and pass through any point.

• It must be a curved line and pass through any point.