Consider the differential equation $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=\frac{{{1}-{x}-{y}}}{{{x}+{1}}}$.
Create a slope field at the indicated points.





What is the value of $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}$ at (0,1)?