#### Answer

$33$

#### Work Step by Step

The general formula to calculate the determinate of a $2 \times 2$ matrix which has 2 rows and 2 coulmns is
$D=\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc$
Now,
$D=\begin{vmatrix}-5&-1\\-2&-7\end{vmatrix}=35-2=33$