Dashpoint Label

import matplotlib.pyplot as plt

DATA = ((1, 3),
        (2, 4),
        (3, 1),
        (4, 2))
# dash_style =
#     direction, length, (text)rotation, dashrotation, push
# (The parameters are varied to show their effects,
# not for visual appeal).
dash_style = (
    (0, 20, -15, 30, 10),
    (1, 30, 0, 15, 10),
    (0, 40, 15, 15, 10),
    (1, 20, 30, 60, 10))

fig, ax = plt.subplots()

(x, y) = zip(*DATA)
ax.plot(x, y, marker='o')
for i in range(len(DATA)):
    (x, y) = DATA[i]
    (dd, dl, r, dr, dp) = dash_style[i]
    # print('dashlen call %d' % dl)
    t = ax.text(x, y, str((x, y)), withdash=True,
                dashdirection=dd,
                dashlength=dl,
                rotation=r,
                dashrotation=dr,
                dashpush=dp,
                )

ax.set_xlim((0.0, 5.0))
ax.set_ylim((0.0, 5.0))

plt.show()