To transform 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 subtracting \( 4x \) from both sides: \[ -8y = -4x + 24 \]
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Now, divide each term by \(-8\) to solve for \( y \): \[ y = \frac{-4x}{-8} + \frac{24}{-8} \] \[ y = \frac{1}{2}x - 3 \]
Thus, the equation in slope-intercept form is: \[ y = \frac{1}{2}x - 3 \]
The correct response is: y = Start Fraction 1 over 2 End Fraction x - 3.
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