Answer: The answer is [tex]-\dfrac{1}{4}.[/tex]
Step-by-step explanation: Given that WXZY is a quadrilateral with W located at (-5, 2) and X is located at (3, 0). We need to find the slope of ZY for which the quadrilateral WXZY is a parallelogram.
We know that the opposite sides of a parallelogram are parallel to each other. So, in the attached figure, we must have WX parallel to ZY. And for that, slope of WX = slope of ZY.
Slope of WX is given by
[tex]m=\dfrac{0-2}{3-(-5)}=\dfrac{-2}{8}=-\dfrac{1}{4}.[/tex]
Thus, the slope of ZY must be [tex]-\dfrac{1}{2}.[/tex]
