Question

Week 4 - Math 8 - Assessment
2 of 11 2 of 11 Items

Question
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

Answer 1

To convert the equation \( 11x - 8y = -48 \) from standard form to slope-intercept form (which is \( y = mx + b \)), we will solve for \( y \).

Starting with the original equation:

1. \( 11x - 8y = -48 \)

Subtract \( 11x \) from both sides:

2. \( -8y = -11x - 48 \)

Now divide every term by \(-8\):

3. \( y = \frac{-11x}{-8} + \frac{-48}{-8} \)

This simplifies to:

4. \( y = \frac{11}{8}x + 6 \)

So, the equation in slope-intercept form is:

\( y = \frac{11}{8}x + 6 \)

Now let's analyze Bob, Bill, and Bud's answers:

- **Bob**: Claims that \( y = 7.375 \), which is incorrect.
- **Bill**: Correctly states \( y = \frac{11}{8}x + 6 \).
- **Bud**: Incorrectly states it as \( y = -11x + 6 \).

Thus, the only correct person is **Bill**. The correct answer is:

**Bill**