1. **State the problem:** We are given two sets of points and asked to find the y-intercept for the first set of points, since the second set already has a y-intercept of 8. 2. **Recall the formula for a line:** The equation of a line in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Calculate the slope $m$ for the first set:** Using points $(3,20)$ and $(4,25)$, $$m = \frac{25 - 20}{4 - 3} = \frac{5}{1} = 5$$ 4. **Use the slope and a point to find $b$:** Using point $(3,20)$, $$20 = 5 \times 3 + b$$ $$20 = 15 + b$$ $$b = 20 - 15 = 5$$ 5. **Interpretation:** The y-intercept $b$ is 5, which matches the given y-intercept for the first set. **Final answer:** The y-intercept for the first set of points is $5$.