What is a proportional relationship on a graph?

In a proportional relationship on a graph, the points plotted form a straight line that passes through the origin (0,0). This indicates that there is a constant ratio between the two variables being plotted.

For example, if you are graphing the relationship between the number of hours worked and the amount of money earned, a proportional relationship would result in a straight line passing through the origin. This means that for every additional hour worked, the amount of money earned increases by the same constant ratio.

In mathematical terms, a proportional relationship can be represented by the equation y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Proportional relationships are often used to analyze real-world data and make predictions based on the patterns observed in the graph. They can help us understand how changes in one variable affect another in a consistent and predictable way.