In a financial software tool used to compare two different service plan costs (each modeled by a linear equation), the relationship between the two plans is determined by how their graphs interact. Match each geometric description of the graphed lines to its correct algebraic classification and solution count.

An operations manager is comparing two linear models that represent the projected fuel costs for two different transportation routes. When graphed on the same coordinate plane, the lines representing these models are parallel and never intersect. How is this system of linear equations classified?

Classifying Coincident Systems in Network Engineering

True or False: If a project manager compares two linear cost-estimate models and finds that their graphs are intersecting lines that meet at exactly ${}1$ point, the equations in the system are classified as independent.

An operations manager graphs two linear equations to project the future maintenance costs of two separate manufacturing machines. He sees that the graphed lines are strictly parallel and never intersect. Because there is no point of intersection, the system has no solution and is algebraically classified as ____.