To transform the 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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Subtract \( 4x \) from both sides: \[ -8y = -4x + 24 \]
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Divide each term by \(-8\) to solve for \( y \): \[ y = \frac{-4x}{-8} + \frac{24}{-8} \]
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Simplify the fractions: \[ y = \frac{1}{2}x - 3 \]
Now the equation is in slope-intercept form, \( y = \frac{1}{2}x - 3 \).
Here, the slope \( m \) is \( \frac{1}{2} \) and the y-intercept \( b \) is \(-3\).
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