Question

Question
Possible Points: 8.33
Change the equation from standard form to slope-intercept form by solving for y.

11x - 8y = -48


Bob:

Subtract 11x from both sides: -8y = -59x

Divide by -8 on both sides: y = 7.375


Bill:

Subtract 11x from both sides: -8y = -11x - 48

Divide by -8 on both sides: y = 11/8 x + 6


Bud:

Subtract 11x from both sides: -8y = -11x - 48

Divide by -8 on both sides: y = -11x + 6


Who is correct?
Responses

Bob
Bob

Bill
Bill

Bud
Bud

None of them is correct
None of them is correct

All of them are correct
All of them are correct
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English

Answer 1

To determine who is correct, let's work through the equation \( 11x - 8y = -48 \) and convert it to slope-intercept form \( y = mx + b \).

1. Start with the original equation:
\[
11x - 8y = -48
\]

2. Subtract \( 11x \) from both sides:
\[
-8y = -11x - 48
\]

3. Now, divide each term by \(-8\):
\[
y = \frac{-11x}{-8} + \frac{-48}{-8}
\]
Simplifying the fractions gives us:
\[
y = \frac{11}{8}x + 6
\]

Comparing this with the answers provided:

- **Bob** had an error while transferring constants, and also incorrectly computed \( y = 7.375 \).
- **Bill** is correct with the result \( y = \frac{11}{8}x + 6 \).
- **Bud** made a mistake by incorrectly carrying the signs for \( -11x \).

Thus, the correct answer is **Bill**.