The differential equation dy dx equals the quotient of the quantity x minus 2 and y minus 2. produces a slope field with horizontal tangents at y = 2 produces a slope field with vertical tangents at y = 2 produces a slope field with columns of parallel segments\

The curve produces a slope field with vertical tangents at y = 2.

Step-by-step explanation:

The differential equation equals the quotient of the quantity x minus 2 and y minus 2.

Hence,

Now, at y = 2, becomes ∞ and hence the curve y = f(x) with will have tangents at y = 0 with slopes equal to ∞ i.e. the tangents make 90° angle with the positive x-axis.

Therefore, the curve produces a slope field with vertical tangents at y = 2. (Answer)

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step-by-step explanation:

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