1. **State the problem:** We need to write an equation for the line modeling the recipe for chicken pie. 2. **Identify variables:** Let $x$ be the number of additional people beyond the first 4. Let $y$ be the total ounces of chicken needed. 3. **Given information:** - For the first 4 people, the recipe calls for 14 ounces of chicken. - For each additional person, 6 more ounces are needed. 4. **Write the equation:** Since the first 4 people require 14 ounces, this is the starting amount (y-intercept). Each additional person adds 6 ounces, so the slope is 6. The slope-intercept form is: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 5. **Substitute values:** $$y = 6x + 14$$ 6. **Interpretation:** This means for $x$ additional people, total ounces $y$ equals 14 plus 6 times $x$. **Final answer:** $$y = 6x + 14$$