Respuesta :

J = (-3, 2)   K = (4, -1)   L = (2, -5)   M = (-5, -2)

Slope is rise over run:

JK = [tex]\frac{2-(-1)}{-3-4}[/tex]

     = [tex]-\frac{3}{7}[/tex]

LK = [tex]\frac{-5-(-1)}{2-4}[/tex]

     = [tex]\frac{4}{2}[/tex]

     = 2

ML = [tex]\frac{-2-(-5)}{-5-2}[/tex]

     = [tex]-\frac{3}{7}[/tex]

MJ = [tex]\frac{-2-2}{-5-(-3)}[/tex]

     = [tex]\frac{4}{2}[/tex]

     = 2

JK || ML and LK || MJ

JKLM is a parallelogram because both sides of opposite sides are parallel.