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Transform the linear equation 4x - 8y = 24 to slope-intercept form. (1 point)

O - 8y = - 4x + 24

y = 1/2 * x - 3

4x - 8y - 24 = 0

4x - 8y = 24

1 answer

To transform the linear equation \(4x - 8y = 24\) into slope-intercept form (\(y = mx + b\)), follow these steps:

  1. Start with the original equation: \[ 4x - 8y = 24 \]

  2. Subtract \(4x\) from both sides: \[ -8y = -4x + 24 \]

  3. Divide each term by \(-8\): \[ y = \frac{1}{2}x - 3 \]

So the equation in slope-intercept form is: \[ y = \frac{1}{2}x - 3 \]

Therefore, the correct answer is: y = 1/2 * x - 3.