Question 916718
Hint:


Let's label the points A,B,C,D


A = (-4, -3)
B = (1,4)
C = (4, 2)
D = (-1, -5)


If you can show that segment AB is parallel to segment CD


AND


If you can show that segment BC is parallel to segment AD


then ABCD is a parallelogram. Use the slope formula {{{m = (y[2] - y[1])/(x[2] - x[1])}}} to calculate the slopes.