Find the equation of the line that is tangent to both of the parabolas $y^2 = 4x$ and $x^2 = -32y.$  Enter your answer in the form "$y = mx + b$".
Question:
Find the equation of the line that is tangent to both of the parabolas $y^2 = 4x$ and $x^2 = -32y.$  Enter your answer in the form "$y = mx + b$".
Answer:
Let's think step by step.

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y = \frac{1}{2} x + 2
Find the equation of the line that is tangent to both of the parabolas $y^2 = 4x$ and $x^2 = -32y.$  Enter your answer in the form "$y = mx + b$".
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