AP Calculus ABeasymcq1 pt

For the differential equation dydx=xy\dfrac{dy}{dx} = -\dfrac{x}{y}, at which of the following points is the slope of the segment equal to 1-1?

A.(2,2)(2,2)
B.(1,1)(-1,1)
C.(1,2)(1,-2)
D.(3,1)(3,1)

Explanation

Core Concept

Substituting gives 22=1-\dfrac{2}{2} = -1, so the segment at (2,2)(2,2) has slope 1-1.

Correct Answer

A(2,2)(2,2)

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