The slope of ZW is 2/5, length of ZY is square root of 29, and the quadrilateral WXYZ is a square.
What is a quadrilateral?
It is a 4 side figure, four angle and four vertices.
How to find the slope?
Points of quadrilateral is Z(-3,1), W(2,3), X(4,-2) AND Y(-1,-4)
Slope of ZW is (3-1)/(2+3)=2/5
Slope of YX=(-2+4)/(-1-4)=-2/5
Length of ZY=root of [tex](-4-1)^{2} +(-1+3)^{2}[/tex]=root of 29
Length of WX =root of [tex](-2-3)^{2} +(4-2)^{2}[/tex]= root of 29
Quadrilateral it is a square.
Learn more about quadrilateral at https://brainly.com/question/23935806
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