Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `y = -x - 6` and `y = 2x -3`?

Answer 1

If the graph has NO intersection of points, it is an inconsistent system. One or more common solution points is a consistent system.

Explanation:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.
In this case both are equalities, so there will only be one solution (consistent) or no solution (inconsistent).
The graph shows a solution at (-1,-5), so the system is consistent.