Explain what is means graphically to be proportional. Explain what is means graphically to be non-proportional. Explain the difference between proportional and non-proportional.
Graphically, two variables are proportional if their relationship forms a straight line that passes through the origin (0,0). This means that as one variable increases or decreases, the other variable does so in a consistent ratio. In other words, if you were to plot the data points on a graph, they would fall on a straight line that passes through the origin.
On the other hand, two variables are non-proportional if their relationship forms a curve, a non-linear line, or if the line does not pass through the origin. This means that the ratio between the two variables is not consistent and may change as one variable increases or decreases.
The key difference between proportional and non-proportional relationships is the consistency of the ratio between the two variables. In a proportional relationship, this ratio remains constant, leading to a straight line that passes through the origin. In contrast, a non-proportional relationship does not have a consistent ratio, leading to a curved or non-linear line on the graph.