To convert the equation \( 11x - 8y = -48 \) from standard form to slope-intercept form, we need to isolate \( y \).
Starting with the original equation: \[ 11x - 8y = -48 \]
Subtract \( 11x \) from both sides: \[ -8y = -11x - 48 \]
Next, divide every term by \(-8\) to solve for \(y\): \[ y = \frac{-11x}{-8} + \frac{-48}{-8} \] \[ y = \frac{11}{8}x + 6 \]
Now, let's analyze each person's work:
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Bob's work: \(-8y = -59x\) (This is incorrect.) \(y = 7.375\) (This result is also incorrect.)
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Bill's work: \(-8y = -11x - 48\) (This is correct.) \(y = 118x + 6\) (This result is incorrect; it appears there was a mistake in simplification when dividing.)
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Bud's work: \(-8y = -11x - 48\) (This is correct.) \(y = -11x + 6\) (This is incorrect; the direction of the coefficient of \(x\) should be positive since it’s divided by \(-8\), leading to a positive slope.)
The correct form is: \[ y = \frac{11}{8}x + 6 \]
Thus, none of them solved it correctly.