Final answer:
The graphed system of equations can be classified as Consistent, Independent; Consistent, Dependent; Inconsistent, Independent; or Inconsistent, Dependent depending on the number of solutions it has.
Step-by-step explanation:
The graphed system of equations can be classified based on the number of solutions it has. A system of equations can have either one solution, an infinite number of solutions, or no solution.
If the system of equations has one unique solution, it is classified as (a) Consistent, Independent.
If the system of equations has infinite solutions, meaning all the points on the graphs of the equations coincide, it is classified as (b) Consistent, Dependent.
If the system of equations has no solution, meaning the graphs of the equations do not intersect, it is classified as (c) Inconsistent, Independent.
If the system of equations has no solution, meaning the graphs of the equations coincide but are not the same, it is classified as (d) Inconsistent, Dependent.