# Line Intersecting once with Parabola

Algebra Level 3

Given the graph of $$y = x^2$$

Let $$m$$ and $$b$$ be integers in the equation $$y = mx + b$$ of a line that intersects the graph of $$y = x^2$$ only once, at the point $$(3, 9)$$.

What is $$m + b$$?

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