Question

11. 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

Bob
Bob

Bud
Bud

Bill
Bill

None of them are correct

Answer 1

To determine who solved for \( y \) correctly, let's start with the given equation:

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

First, we will rearrange it to isolate \( y \):

1. Subtract \( 11x \) from both sides:

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

2. Now, divide every term by -8 to solve for \( y \):

\[ y = \frac{-11x}{-8} + \frac{-48}{-8} \]

This simplifies to:

\[ y = \frac{11}{8}x + 6 \]

Now, we can compare this result with the work shown by Bob, Bill, and Bud:

- **Bob's work:** Incorrect, as he wrote \(-59x\) instead of \(-11x - 48\).
- **Bill's work:** Incorrect, as the slope should be \(\frac{11}{8}\), not \(118\).
- **Bud's work:** Incorrect, as the sign in front of \(-11x\) is wrong; it should be positive.

None of them arrived at the correct answer \( y = \frac{11}{8}x + 6 \).

So, the correct response is:

**None of them are correct.**