M is the midpoint of AB. The cordinates of A Are (-2,3) and the cordinates of M are (1,0). Find the cordinates of B

M is the midpoint of AB. The cordinates of A Are (-2,3) and the cordinates of M are (1,0). Find the cordinates of B

$$\small{\text{$ \begin{array}{rcl} \vec{M}&=&\dfrac{1}{2}(\vec{A}+\vec{B})\\\\ 2\cdot \vec{M}&=&\vec{A}+\vec{B}\\\\ 2\cdot \vec{M}-\vec{A}&=&\vec{B}\\\\ \vec{\mathbf{B}}& \mathbf{=} &\mathbf{ 2\cdot} \vec{\mathbf{M}} \mathbf{ -} \vec{\mathbf{A}} \\\\ \vec{B} &=& 2\cdot \binom10 - \binom{-2}{3}\\\\ \vec{B} &=& \binom20 - \binom{-2}{3}\\\\ \vec{B} &=& \binom{2+2}{0-3}\\\\ \vec{\mathbf{B}} &\mathbf{=}& \mathbf{\binom{4}{-3}}\\\\ \end{array} $}}$$

 B  is (4,-3)