Question

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=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 Bill Bill Bob Bob Bud

Answer 1

To determine which solution is correct, we need to solve the equation \(11x - 8y = -48\) for \(y\) in slope-intercept form (\(y = mx + b\)).

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

2. Rearrange the equation to isolate the term with \(y\): \[ -8y = -11x - 48 \]

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

From the solved equation, we see that:

• The slope \(m\) is \(\frac{11}{8}\)
• The y-intercept \(b\) is \(6\)

Now, let's analyze Bob's, Bill’s, and Bud’s work:

• Bob: \(y = 7.375\) (Incorrect, as he didn't finish solving for \(y\)).
• Bill: \(y = \frac{11}{8}x + 6\) (Correct).
• Bud: \(y = -11x + 6\) (Incorrect, sign of the slope is wrong).

The correct response is: Bill.