Identifying Proportional Relationships from Graphs

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

• Must be a line and have a constant slope

• Must be a curve and have varying slopes

• Must be a line and pass through the origin

• Must be a curve and pass through the origin

Why was the green curve immediately ruled out as representing a proportional relationship?

• It had a constant slope

• It was not a line

• It did not pass through the origin

• It was a straight line

What indicates a proportional relationship in a graph?

• A curve through the origin

• A straight line not through the origin

• A varying slope

• A straight line through the origin

Why is it important for a proportional relationship's graph to pass through the origin?

• It shows there is no relationship

• It means the variables are not related

• It suggests a varying rate of change

• It indicates a constant rate of change

What was the issue with the purple line in terms of representing a proportional relationship?

• It had a varying slope

• It did not pass through the origin

• It passed through the origin

• It was not a straight line

How many proportional relationships were depicted in the coordinate plane?

• None

• Three

• Two

• One

Can a line that does not pass through the origin represent a proportional relationship?

• No, unless it has a constant slope

• Yes, if it is a straight line

• No, never

• Yes, always

What does each point on Natalie's score graph represent?

• The number of points per target hit

• The cumulative score

• The total number of targets missed

• The proportionality constant

What was the proportionality constant in Natalie's scores?

• 5

• 2

• 3

• 4

What was the relationship between targets hit and points in Natalie's example?

• Directly proportional

• Linear but not proportional

• Inversely proportional

• Not proportional