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The Graphing proportional relationships exercise appears under the 8th grade (U.S.) Math Mission. This exercise emphasizes that proportional relationships grow through the origin and are linear.

## Types of Problems

There are three types of problems in this exercise:

1. Graph and give the descriptions: This problem gives the student a proportional relationship and asks them to graph it and select appropriate summaries from a multiple select list.
2. Graph and find the equation: This problem gives the student a proportional relationship and asks them to graph it and find the equation of the relationship.
3. Graph and find the slope: This problem gives the student a proportional relationship and asks them to graph it and find the unit change which is effectively the slope.

## Strategies

Necessary skills include an ability to graph lines. Knowing the concepts of direct variation should provide an advantage on this exercise.

1. Direct variation is modeled by $y=kx$.
2. The graph of direct variation is always linear and always goes through the origin.

## Real-life applications

1. Direct variation (along with it's counterpart inverse variation) are at the core of many physics applications.