1. **State the problem:** We need to find the slope of a line given two points on the line and represent the "rise" and "run" segments. 2. **Identify points:** From the description, the line passes through approximately (0, 6) and (8, 0). 3. **Calculate rise and run:** - Rise is the change in y-values: $$\text{Rise} = 0 - 6 = -6$$ - Run is the change in x-values: $$\text{Run} = 8 - 0 = 8$$ 4. **Calculate slope:** - Slope formula: $$m = \frac{\text{Rise}}{\text{Run}}$$ - Substitute values: $$m = \frac{-6}{8}$$ 5. **Simplify slope:** - Simplify fraction by dividing numerator and denominator by 2: $$m = \frac{\cancel{6}}{\cancel{8}} = \frac{-3}{4}$$ 6. **Interpretation:** The slope of the line is $$-\frac{3}{4}$$, meaning for every 4 units moved horizontally to the right, the line falls 3 units vertically. **Final answer:** The slope of the line is $$-\frac{3}{4}$$.