To transform the linear equation \( 4x - 8y = 24 \) into slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:
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Start with the original equation: \[ 4x - 8y = 24 \]
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Move the \( 4x \) term to the right side of the equation: \[ -8y = -4x + 24 \]
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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 the fractions: \[ y = \frac{1}{2}x - 3 \]
So, the slope-intercept form of the equation \( 4x - 8y = 24 \) is: \[ y = \frac{1}{2}x - 3 \]
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