To transform the linear equation \(4x - 8y = 24\) to slope-intercept form (which is \(y = mx + b\)), follow these steps:
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Start with the original equation: \[ 4x - 8y = 24 \]
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Isolate the term involving \(y\) by moving \(4x\) to the other side: \[ -8y = -4x + 24 \]
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Divide each term by \(-8\) to solve for \(y\): \[ y = \frac{1}{2}x - 3 \]
So, the slope-intercept form of the equation is: \[ y = \frac{1}{2}x - 3 \]
Therefore, the correct response is: y equals Start Fraction 1 over 2 End Fraction x minus 3.