
Luke J. answered 02/01/22
Experienced High School through College STEM Tutor
If I had enough time, I would have coded this myself but if you go to this Desmos graphing link, you can actually create your own slope field and even drag around an initial point to see how the slope field at that (x,y) coordinate would slope to.
You'll have to change the g(x,y) function to xy - x instead of its current 2x / y function but it works amazingly!
Slope Field Generator (desmos.com)
I hope this helps! Message me in the comments if you'd like to know what's going on with the Desmos graph and questions on slope fields in general! And message me with any further questions, comments, or concerns in the comment section of this question so I get notified on my enabled devices!