Two parabolas have the same focus, namely the point $(3,-28).$  Their directrices are the $x$-axis and the $y$-axis, respectively.  Compute the slope of their common chord.
Question:
Two parabolas have the same focus, namely the point $(3,-28).$  Their directrices are the $x$-axis and the $y$-axis, respectively.  Compute the slope of their common chord.
Answer:
Let's think step by step.

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Two parabolas have the same focus, namely the point $(3,-28).$  Their directrices are the $x$-axis and the $y$-axis, respectively.  Compute the slope of their common chord.
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