A line whose $y$-intercept is $(0,5)$ intersects the ellipse $9x^2 + 16y^2 = 144.$  Find all possible slopes of this line.
Question:
A line whose $y$-intercept is $(0,5)$ intersects the ellipse $9x^2 + 16y^2 = 144.$  Find all possible slopes of this line.
Answer:
Let's think step by step.

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(-\infty,-1] \cup [1,\infty)
A line whose $y$-intercept is $(0,5)$ intersects the ellipse $9x^2 + 16y^2 = 144.$  Find all possible slopes of this line.
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