The Area of a Triangle with Vertices $\left( x _ { 1 } , y _ { 1 } \right),$

Multiple Choice

The area of a triangle with vertices $\left( x _ { 1 } , y _ { 1 } \right) ,$ $\left( x _ { 2 } , y _ { 2 } \right) ,$ and $\left( x _ { 3 } , y _ { 3 } \right)$ can be given as the absolute value of the determinant $\frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right|$ Use this formula to find the area of each triangle whose coordinates are $( - 6,2 ) ,$ $( 0,3 ) ,$ and $( - 5,6 ) .$

A) 11.0
B) 1.0
C) 15.5
D) 11.5
E) 6.0