A(−4, −1) , B(−1, 2)
Slope AB = (2 + 1)/(-1 + 4)
Slope AB = 3/3
Slope AB = 1
B(−1, 2) , C(5, 1)
Slope BC = (2 - 1)/(-1 - 5)
Slope BC = -1/6
C(5, 1) , and D(1, −3)
Slope CD = (1 + 3)/(5 - 1)
Slope CD = 4/4
Slope CD = 1
A(−4, −1) and D(1, −3)
Slope AD = (-1 + 3)/(-4 - 1)
Slope AD = -2/5
AB and CD has same slope and equal 1
So AB and CD are parallel
Answer
Slope AB = 1, Slope BC = -1/6, Slope CD = 1 and Slope AD = -2/5
Quadrilateral ABCD is not a parallelogram because only one pair of opposite sides is parallel .