A graph represents a proportional relationship when it meets the following criteria:
- The graph is a straight line.
- The line passes through the origin (0,0).
A proportional relationship is one where the ratio between the two variables is constant. When graphed, this relationship will always form a straight line that passes through the origin. This means that for every change in one variable, there is a consistent change in the other variable, resulting in a straight line on the graph that goes through the point (0,0) .