Question

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

Answer 1

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**.