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