A student says, "The x-coordinate of the intersection point is a solution to f⁡(x)=g⁡(x) only because these two graphs happen to be straight lines." Is the student correct?

No. At an intersection, the graphs have the same y-coordinate at the same x-coordinate, so f(x) = g(x) for that x-value. This is true whether the graphs are straight or curved, so the student is incorrect; the correct choice is “No, any intersection point solves f of x is equal to g of x.”

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