#### Answer

$$\frac{5}{9}$$

#### Work Step by Step

The equation
$$5x-9y=11$$
can be rewritten as
$$9y=5x-11$$
$$y=\frac{5}{9}x-\frac{11}{9}$$
The equation of a line in slope-intercept form is
$$y=mx+b$$
where $m$ is the slope and $b$ is the y-intercept.
Therefore,
$$m=\frac{5}{9}$$