Systems of Equations

In Graph 3, the system of equation is an Inconsistent equation . It's lines are parallel and parallel lines will never cross , so there could never be a solution. Inconsistent and No Solution.

In Graphs 1 and 4, two lines are crossing at one point , therefore it only has one solution . This system of equation will be called Independent and Consistent.

In Graph 2, the line looks to be one line , but it is actually two lines drawn together. These two lines intersect at every point along their length. This System of Equation would be called Dependent , and the solution would be the whole line.