Question

Transform the linear equation 4x - 8y = 24 to slope-intercept form.
A. y = 1/2x - 3
B. -8y = -4x + 24
C. 4x - 8y - 24 = 0
D. 4x - 8y = 24

Answer 1

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:

\[ 4x - 8y = 24 \]

1. Subtract \(4x\) from both sides:

\[ -8y = -4x + 24 \]

2. 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. \(y = \frac{1}{2}x - 3\)**.