Question

Change the equation from standard form to slope-intercept form by solving for y.

11x−8y=−48




Bill's work:

−8y=−11x−48


y=11/8x+6




Bud's work:

−8y=−11x−48


y=−11x+6




Who solved for y correctly?

(1 point)
Responses

None of them are correct
None of them are correct

Both of them are correct
Both of them are correct

Bob
Bob

Bill

Answer 1

To determine who solved for \( y \) correctly, let's go through the steps of transforming the equation \( 11x - 8y = -48 \) into slope-intercept form, which is \( y = mx + b \).

Starting with the equation:

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

We need to isolate \( y \). First, we'll move \( 11x \) to the other side:

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

Now, we'll divide every term by \(-8\) to solve for \( y \):

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

This simplifies to:

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

So, the correct slope-intercept form is:

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

Now let's review Bill's and Bud's work:

- **Bill:** \( y = \frac{11}{8}x + 6 \) (Correct)
- **Bud:** \( y = -11x + 6 \) (Incorrect)

Based on this analysis, the answer is:

**Bill solved for y correctly.**