Exploring Proportional Relationships in Graphs

The video tutorial explains how to determine if a graph represents a proportional relationship. It highlights three key properties: the graph must pass through the origin, be a straight line, and have constant ratios from ordered pairs. Examples are provided to illustrate both proportional and non-proportional relationships.

What is the first property of a proportional graph?

• It forms a curve.

• It intersects the y-axis at 1.

• It goes through the origin.

• It has a constant slope.

Which of the following is true about a proportional graph?

• It can be a curved line.

• It must pass through the point (1,1).

• It is always a straight line.

• It can start from any point on the graph.

How can you verify if a graph represents a proportional relationship?

• By checking if it has multiple slopes.

• By checking if it forms a closed shape.

• By ensuring it passes through the origin and is a straight line.

• By seeing if it intersects the x-axis.

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

• Because it forms a curve.

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

• Because it intersects the y-axis at 2.

• Because it has a varying slope.

Why is the second example not a proportional relationship?

• Because it intersects the x-axis.

• Because it does not pass through the origin.

• Because it forms a closed shape.

• Because it is not a straight line.

What are the three key properties to identify a proportional relationship in a graph?

• It is a straight line, intersects the x-axis, and has multiple slopes.

• It is a straight line, passes through the origin, and has equal ratios.

• It forms a curve, passes through the origin, and has a constant slope.

• It intersects the y-axis, forms a closed shape, and has a varying slope.