Given quadrilateral xywz determine whether wx and yz are parallel, perpendicular, or niether. w(0,-3), x(-1,5), y(2,5), z(-1,2)

The slope of both sides is needed in order to determine whether they are parallel, perpendicular or neither.

The slope of a line connecting two points is just the change in y over change in x.

WX
m = (-3 - 5)/(0 - -1)
m = -8/1
m = -8

YZ
m = (5 - 2)/(2- -1)
m = 3/3
m = 1

The sides are neither parallel or perpendicular.