The equations of the perpendicular bisectors of the sides ${\AB}$ and ${\AC}$ of $\triangle {\ABC}$ are $x-y+5=0$ and $x+2 y=0$ respectively. If the coordinates of $A$ are $(1,-2)$, then the equation of the line ${\BC}$ is [AP EAPCET 23 May 2024 S1]

Correct Answer is : 14x+23y−40=0