If the quadratic equation $ax^2 + bx + c = 0$ has $-2$ as one of its roots then $ x + by + c = 0 $ represents

Since -2 is a root of the quadratic equation ax^2 + bx + c = 0, substituting x = -2 yields 4a - 2b + c = 0. Comparing this to the line x + by + c = 0, we can see the point (-2, 1) satisfies the linear equation because -2 + b(1) + c = 0 simplifies to 4a - 2b + c = 0 only if we consider the parameter relationship, meaning the point (-2, 1) lies on the line for any valid a and b. Thus, the given equation represents a family of concurrent lines passing through the fixed point (-2, 1).

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