I need the answer as soon as possible. Thank You

point D  =  midpoint of AB  =  \((\frac{4+2}{2},\frac{6+-2}{2})\,=\,(\frac62,\frac42)\,=\,(3,2)\)

point E  =  midpoint of AC  =  \((\frac{4+-2}{2},\frac{6+-4}{2})\,=\,(\frac22,\frac22)\,=\,(1,1)\)

slope of DE  =  \(\frac{2-1}{3-1}\,=\,\frac12\)

slope of BC  =  \(\frac{-2--4}{2--2}\,=\,\frac24\,=\,\frac12\)

slope of DE  =  slope of BC

therefore  DE  is parallel to  BC .

it only gave me one mark out of four and i wrote it all (the mark only came from writing point d)