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), we need to solve for \(y\).
Starting with the equation:
\[ 4x - 8y = 24 \]
- Subtract \(4x\) from both sides:
\[ -8y = -4x + 24 \]
- Now, divide every term by \(-8\) to isolate \(y\):
\[ y = \frac{1}{2}x - 3 \]
Thus, the slope-intercept form of the given equation is:
\[ y = \frac{1}{2}x - 3 \]
So the correct answer is:
A. \(y = \frac{1}{2}x - 3\).