Question

Change the equation from standard form to slope-intercept form by solving for y.11x−8y=−48 Bob's work:−8y=−59x y=7.375 Bill's work:−8y=−11x−48 y=118x+6 Bud's work:−8y=−11x−48 y=−11x+6 Who solved for y correctly?(1 point)Responses BiliBili None of them are correct None of them are correct BudBud Bob

Answer 1

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:

\[ 11x - 8y = -48 \]

1. Move the term involving \(x\) to the right side:

\[ -8y = -11x - 48 \]

2. 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."