To convert the linear equation \( 4x - 8y = 24 \) to 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 \( y \) term by moving \( 4x \) to the right side: \[ -8y = -4x + 24 \]
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Divide every term in the equation by \(-8\) to solve for \( y \): \[ y = \frac{-4}{-8}x + \frac{24}{-8} \] \[ y = \frac{1}{2}x - 3 \]
So the slope-intercept form of the equation is: \[ y = \frac{1}{2}x - 3 \]
Thus, the correct response is: y equals Start Fraction 1 over 2 End Fraction x minus 3.