To transform the equation \(4x - 8y = 24\) into slope-intercept form (\(y = mx + b\)), follow these steps:
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Start with the original equation: \[ 4x - 8y = 24 \]
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Isolate the term with \(y\) by moving \(4x\) to the right side: \[ -8y = -4x + 24 \]
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Divide every term by \(-8\) to solve for \(y\): \[ y = \frac{-4}{-8}x + \frac{24}{-8} \]
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Simplify: \[ y = \frac{1}{2}x - 3 \]
Thus, the equation in slope-intercept form is: \[ y = \frac{1}{2}x - 3 \]
Among the options provided, none of them were correct, but you can rewrite your final equation if required. Is there anything else you would like to ask?