Identify Direct and Inverse Variation Using the Shape of Graphs

This lesson explores the relationship between x and y values in equations by examining graph shapes. It begins with a review of graphing linear equations, highlighting common misconceptions about graph shapes. The lesson then presents two examples: Sheila's running pace, illustrating direct variation with a straight line, and Angie's sandbox dimensions, demonstrating inverse variation with a curved line. The lesson concludes by comparing these graph types, emphasizing the differences in proportionality and rate of change.

How can we determine if an equation will produce a straight line or a curve when graphed?

What does the term 'proportional relationship' mean in the context of the lesson?

What are the implications of a straight line versus a curved line on a graph?