MHB 9.2.2 AP Calculus Exam -- slope field for which DE

[karush]

View attachment 9324

ok probably if one did a lot of these this could be solved by observation
others separate the variables and take to Integral to get the equation

 

[skeeter]

ok probably if one did a lot of these this could be solved by observation
others separate the variables and take to Integral to get the equation

meant to be done by observation ... note the slopes near this line are close to a value of -1

the equation of the line is about $\color{red}y = -x-1 \implies y+x=-1$

what do you think?

 

[karush]

that looks like C

but how would you it was a line?