#### Answer

$$-\frac{2}{11}$$

#### Work Step by Step

The slope $m$ of a line is given by
$$m=\frac{y_2-y_1}{x_2-x_1}$$
where $(x_1,y_1)$ and $(x_2,y_2)$ are two different points on the line and $x_1\neq x_2$.
For a line through the origin $(0,0)$ and $(11,-2)$
$$m=\frac{-2-0}{11-0}=-\frac{2}{11}$$