Question

WXZY is a quadrilateral with W located at (-5, 2) and X is located at (3, 0). What must be the slope of ZY in order for WXYZ to be a parallelogram?

Answer 1

Answer: The answer is
`-(1)/(4).`

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

`m=(0-2)/(3-(-5))=(-2)/(8)=-(1)/(4).`

Thus, the slope of ZY must be
`-(1)/(2).`