The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).
The vast majority of all graphs do that.
Proportional relationships in graphs are represented by straight lines that pass through the origin (0,0). In these relationships, the ratio of the two quantities remains constant, meaning that as one quantity increases or decreases, the other does so in a consistent manner. This can be visually identified by the slope of the line, which represents the constant ratio. Overall, proportional relationships illustrate a direct correlation between two variables.
Graphs showing the relationship (or not) between two independent variables.
None of the items on that list can show that association.
Interval and ratio
nominal and ordinal is wrong; those are the two types of qualitative variables. Ratio and interval are the two types of quantitative variables.
If two graphs have exactly the same shape, it indicates that the variables are proportional to each other. This means that as one variable increases or decreases, the other variable changes in a consistent and fixed ratio.
Represent two variables on two axes.
The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).
x and y
They illustrate the relationship between two (or more) variables.
Quotient.
The vast majority of all graphs do that.
Proportional relationships in graphs are represented by straight lines that pass through the origin (0,0). In these relationships, the ratio of the two quantities remains constant, meaning that as one quantity increases or decreases, the other does so in a consistent manner. This can be visually identified by the slope of the line, which represents the constant ratio. Overall, proportional relationships illustrate a direct correlation between two variables.
It is a ratio.
None of the items on that list can show that association.