Solve the Problem $\left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right)$

Multiple Choice

Solve the problem.
-The area of a triangle with vertices $\left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right)$ , and $\left( x _ { 3 } , y _ { 3 } \right)$ is
$$\text { Area } = \pm \frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right|$$
where the symbol $\pm$ indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are $( 2,10 ) , ( 6 , - 4 )$ , and $( - 3 , - 9 )$ .

A) 73
B) 146
C) 1
D) 2