1. **State the problem:** We are given the equation of line e as $$y = -\frac{21}{59}x + 89$$ and asked to find the slope of line f which is parallel to line e. 2. **Recall the rule for parallel lines:** Parallel lines have the same slope. This means the slope of line f is equal to the slope of line e. 3. **Identify the slope of line e:** From the equation $$y = mx + b$$, the slope $$m$$ is the coefficient of $$x$$. Here, $$m = -\frac{21}{59}$$. 4. **Write the slope of line f:** Since line f is parallel to line e, its slope is also $$-\frac{21}{59}$$. 5. **Simplify the fraction if possible:** The fraction $$-\frac{21}{59}$$ is already in simplest form because 21 and 59 have no common factors other than 1. **Final answer:** The slope of line f is $$-\frac{21}{59}$$.