Using the midpoint formula for a line segment you'll have:
[tex] \frac{x_1 + x_2}{2} = x_{mid} \\ You~are~given~that~the~mid~is~2~ and~one~endpoint~of~which~is~-3 \\ Substituting~them~to~the~formula~you'll~have: \\ \frac{-3+x_2}{2} = 2 \\ Cross~multiply \\ -3 + x_2 = 2(2) \\ -3 + x_2 = 4 \\ Transpose~-3~to~the~right \\ x_2 = 4 + 3 \\ x_2 = 7 \\ Do~the~same~for~y \\ \frac{y_1+y_2}{2} =y_{mid} \\ \frac{-4+y_2}{2}=-1 \\ Cross~multiply \\ -4+y_2 = 2(-1)\\ -4 +y_2 = -2 \\ Transpose~-4~to~the~right \\ y_2 = -2 +4 \\ y_2 = 2 \\ Therefore~the~corrdinates~will~be_(7,2)[/tex]
