Question

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


−8y=−4x+24


y=1/2x−3


4x−8y=24


4x−8y−24=0

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), follow these steps:

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

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

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

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

Therefore, the correct answer is:
\[
y = \frac{1}{2}x - 3
\]