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)ResponsesBobBobBillBillNone of them are correctNone of them are correctBud

Answer 1

To convert the equation from standard form to slope-intercept form (y = mx + b), let's start with the given equation:

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

We can solve for \( y \) step by step:

1. Move the \( 11x \) term to the other side:

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

2. Divide all terms by -8 to isolate \( y \):

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

   Simplifying that gives:

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

Now let's analyze the three responses:

• Bob's work resulted in \( y = 7.375 \), which does not correspond to the correct slope-intercept form.
• Bill's work gave \( y = \frac{11}{8}x + 6 \), which should have been correct, but let's check the equation.
• Bud's work resulted in \( y = -\frac{11}{8}x + 6 \), which is incorrect.

None of the responses given (Bob, Bill, Bud), are correct based on our calculations. The correct slope-intercept form should have been \( y = \frac{11}{8}x + 6 \).

Therefore, the answer is None of them are correct.