Determine If a Graph Is Proportional

What are the TWO important characteristics a graph needs to have to be considered Proportional?

• It needs to be a straight line

• The line needs to pass through the origin

• The line CANNOT pass through the origin

• The line CANNOT be a straight line.

Is this graph proportional or non-proportional?

• Proportional

• Non-Proportional

Select all the ways you can determine if a graph is proportional.

• It is in a straight line

• It goes through the origin

• It goes up and over (or down and back) the same amount every time

• All graphs are proportional

This graph is NOT proportional. What would MAKE it be proportional? (What requirement is it missing?)

• The line needs to be straighter.

• The line needs to start at the origin (0,0)

Get ready for a graph-tastic adventure! 📈 Which of these mysterious graphs holds the secret to a proportional relationship?

• A daring straight line that bravely passes through the origin, like a knight on a quest.

• A mysterious curved line that begins its journey at the origin, like a dragon's tail.

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.

• The graph is proportional because it is linear and passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not linear and it does not pass through the origin.

Which graph shows a proportional relationship between x and y? (a)  

• A

• B

• C

• D

Using the graph above, determine the constant of proportionality.

• k = 0

• k = 1

• k = 3

• k = 6

• A straight line that does not pass through the origin.

Is the given table a proportional relationship? If so, what is the constant of proportionality?

• Yes; X=1/3

• No

• Yes; X=3

• Yes; X=5