Slope Fields

AP Calculus AB· difficulty 4/5

A slope field for dydx=yx\dfrac{dy}{dx} = y - x has horizontal segments along which line in the xyxy-plane?

  • A

    y=xy = x

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  • B

    x=0x = 0

  • C

    y=xy = -x

  • D

    y=0y = 0

Explanation

Horizontal slope ⇔ dy/dx=0y=xdy/dx = 0 \Rightarrow y = x.

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