Really need help with this ASAP.

Answer:
If DE// to BC, slope of DE= slope of BC
D=([tex]\frac{4+2}{2} ,\frac{6-2}{2}[/tex])
D=(3,2)
E=([tex]\frac{4-2}{2} ,\frac{6-4}{2}[/tex])
E=(1,1)
Slope of DE=[tex]\frac{2-1}{3-1} =\frac{1}{2}[/tex]
Slope of BC=[tex]\frac{-2-(-4)}{2-(-2)} =\frac{1}{2} =[/tex]Slope of DE
∴DE // to BC.