Curve through a given point with a given separable slope

1. A.
   $x\log|y|=x-1$
2. B.
   $x\log|y|=-2(x-1)$
3. C.
   $x\log|y|=2(x-1)$
4. D.
   $x^2\log|y|=-2(x-1)$

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1. A.
   $xy = x^{2} + 2x + 1$
2. B.
   $xy = x^{2} + x + 2$
3. C.
   $xy = x^{2} + x + 5$
4. D.
   $xy = x^{2} + 2x + 5$

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1. A.
   $\ 2(y - 1) + x(x + 1) = 0$
2. B.
   $\ 2x - (y - 1)(x + 1) = 0$
3. C.
   $\ 2x + (x + 1)(y - 1) = 0$
4. D.
   $\ 2x(y - 1) + (x + 1) = 0$

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1. A.
   $x\sqrt{y} = 2$
2. B.
   $x\sqrt{y} = -2$
3. C.
   $\sqrt{x}y = 2$
4. D.
   $x\sqrt{y} = 1$

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1. A.
   $xy - x - y - 1 = 0$
2. B.
   $(y - 1)(x + 1) = 2x$
3. C.
   $xy + x + y - 1 = 0$
4. D.
   $y(x + 1) - x + 1 = 0$

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