Answer
The shape is a parallelogram.
Work Step by Step
We use the equation for slope:
$m = \frac{y_2-y_1}{x_2-x_1}$
We find:
$m_1 = \frac{-3-(-11)}{-5-1}=\frac{-4}{3}$
$m_2 = \frac{-11-(-6)}{1-7}=\frac{5}{6}$
$m_3 = \frac{-6-2}{7-1}=\frac{-4}{3}$
$m_4 = \frac{-3-2}{-5-1}=\frac{5}{6}$
Since two sets of sides have equal slopes, the shape is a parallelogram.
