Question 851443
You can make a graph both to answer and to check; but you can always use points of each pair of opposite corners to form the equations for the lines containing the diagonals, and then solve them as two simultaneous equations.  The solution is the intersection point of the diagonals.  


XZ
slope {{{(6-0)/(-2-3)=-6/5}}}.
as if y-mx to get y intercept,
{{{0-(-6/5)3=18/5}}}
{{{y=-(6/5)x+18/5}}}


YW
slope {{{(8-(-2))/(3-(-2))=2}}}.
y-intercept,{{{ 8-2*3=2}}}.
{{{y=2x+2}}}


FIND INTERSECTION
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Equating expressions for y, {{{-(6/5)x+18/5=2x+2}}}
{{{-(3/5)x+9/5=x+1}}}
{{{x+1=-(3/5)x+9/5}}}
{{{(8/5)x=4/5}}}
{{{highlight(x=2)}}}------One of the coordinates
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{{{y=2x+2}}}
{{{y=2*2+2}}}
{{{highlight(y=6)}}}--------Other coordinate