Let $A$ be a point on the parabola $y = x^2 - 9x + 25,$ and let $B$ be a point on the line $y = x - 8.$  Find the shortest possible distance $AB.$
Question:
Let $A$ be a point on the parabola $y = x^2 - 9x + 25,$ and let $B$ be a point on the line $y = x - 8.$  Find the shortest possible distance $AB.$
Answer:
Let's think step by step.

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4 \sqrt{2}
Let $A$ be a point on the parabola $y = x^2 - 9x + 25,$ and let $B$ be a point on the line $y = x - 8.$  Find the shortest possible distance $AB.$
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