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=11/8x+6
Bud's work:

−8y=−11x−48
y=−11x+6
Who solved for y correctly?

Answer 1

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

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

Now, we'll solve for \(y\):

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

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

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

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

Now, let's check Bob's and Bud's solutions:

- **Bob's work**: He ended up with \(y = 7.375\). This is incorrect because it doesn't represent the relationship of the derived equation.

- **Bill’s work**: He obtained \(y = \frac{11}{8}x + 6\). This is correct.

- **Bud’s work**: He wrote \(y = -11x + 6\), which is incorrect because he didn't divide correctly.

Thus, **Bill** solved for \(y\) correctly.