1. **State the problem:**
We have a line modeling a recipe for chicken pie with the equation $y = 6x + 14$, where $x$ is the number of people and $y$ is the ounces of chicken.
2. **Write the equation:**
The equation is already given in slope-intercept form: $$y = 6x + 14$$
Here, the slope $6$ means each additional person requires 6 more ounces of chicken, and the y-intercept $14$ means 14 ounces are needed regardless of the number of people.
3. **Find how many people can be fed with 26 ounces of chicken:**
We set $y = 26$ and solve for $x$:
$$26 = 6x + 14$$
4. **Isolate $x$:**
$$26 - 14 = 6x$$
$$12 = 6x$$
5. **Divide both sides by 6:**
$$\cancel{6} \times 2 = \cancel{6} x$$
$$2 = x$$
6. **Interpretation:**
You can feed 2 people with 26 ounces of chicken according to the recipe.
Chicken Pie 48D57D
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