Same line length in slope fields

[schniefen]

How would one get the same line length of all the lines in the slope field while keeping the correct slope of each line? Since the change in y is equal to the slope times the change in x, I suspect one would need to define a function in the second for-loop that takes the change in y and x as inputs, yet I have a hard time seeing how one would formulate such a function.

   

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def f(x,y):     return -y/x for m in [i for i in range(-4,5) if i!=0]:     for n in [i for i in range(-4,5) if i!=0]:         slope=f(m/2,n/2)         plt.plot([m/2,m/2+1/8],[n/2,slope*1/8+n/2],color='k')         plt.ylim(-2,2,1/2)         plt.xlim(-2,2,1/2)         plt.grid(True)

[scidam]

You need to define line length first.

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from pylab import plt, np def f(x,y):     return -y/x   line_len = 0.2   for m in [i for i in range(-4,5) if i!=0]:     for n in [i for i in range(-4,5) if i!=0]:         slope=f(m/2,n/2)         slope = np.arctan(slope)   # we need to clarify what slope means, is it an angle? or tan(angle)? what do we want?         plt.plot([m/2,m/2+line_len * np.cos(slope)],[n/2,line_len * np.sin(slope)+n/2],color='k')         plt.ylim(-2,2,1/2)         plt.xlim(-2,2,1/2)         plt.grid(True)