The graph of the line $x+y=b$ is a perpendicular bisector of the line segment from $(0,3)$ to $(6,9)$. What is the value of b?
Question:
The graph of the line $x+y=b$ is a perpendicular bisector of the line segment from $(0,3)$ to $(6,9)$. What is the value of b?
Answer:
Let's think step by step.

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The graph of the line $x+y=b$ is a perpendicular bisector of the line segment from $(0,3)$ to $(6,9)$. What is the value of b?
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