How do you draw the slope field of the differential equation #y'=y-x# ?
You have to substitute values of
To draw these slope field may be a little bit challenging but you can use softwares that can help you to do that, such as the one from:
In your case you may use pencil and paper and draw at each point a little line with inclination representing the value calculated at that point.
Have a look at the drawing obtained from the above website using your equation:
Consider, for example, the coordinates:
By hand you can draw less lines and speed up a little bit the process but I would suggest you to use the help of a software anyway.