Let's start by solving the given equation step by step to convert it from standard form (11x - 8y = -48) to slope-intercept form (y = mx + b).
The equation is:
\[ 11x - 8y = -48 \]
- Move the term involving \(x\) to the right side:
\[ -8y = -11x - 48 \]
- Divide every term by -8 to solve for \(y\):
\[ y = \frac{-11}{-8}x + \frac{-48}{-8} \]
This simplifies to:
\[ y = \frac{11}{8}x + 6 \]
It seems there are some discrepancies between the provided answers and the calculations.
Now let's evaluate each person's work:
-
Bob's work:
- He has \( y = 7.375 \), which is incorrect.
-
Bill's work:
- The equation he gets is \( y = \frac{11}{8}x + 6 \), which can also be written in decimal form as \( y = 1.375x + 6 \).
-
Bud's work:
- He incorrectly writes \( y = -11x + 6 \), which is also wrong.
None of them ultimately arrived at the correct final form, because the correct slope (the coefficient of \(x\)) is \( \frac{11}{8} \) not \(-11\).
The best assessment is that "None of them are correct."