## Calculus with Applications (10th Edition)

$$\frac{5}{9}$$
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, $$m=\frac{5}{9}$$