$\left| \begin{array} { c c c } x & y & 1 \\A & - 1 & 1 \\3 & 2 & 1\end{array} \right| = 0$

Short Answer

$\left| \begin{array} { c c c } x & y & 1 \\A & - 1 & 1 \\3 & 2 & 1\end{array} \right| = 0$
represents the equation of a line. Find the value of A so that the line passes through the point (10,5).