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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Isolate the term involving \( y \): \[ -8y = -4x + 24 \]
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Divide every term by \(-8\) to solve for \( y \): \[ y = \frac{1}{2}x - 3 \]
Thus, the slope-intercept form of the equation is: \[ y = \frac{1}{2}x - 3 \]
This matches the option:
- y = 1/2x - 3
- y = 1 half x - 3
Both are equivalent.