Question

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

−8y=−4x+24
negative 8 y equals negative 4 x plus 24

4x−8y−24=0
4 x minus 8 y minus 24 equals 0

4x−8y=24
4 x minus 8 y equals 24

y=12x−3

Answer 1

To convert the equation \( 4x - 8y = 24 \) to slope-intercept form, we need to solve for \( y \).

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

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

3. Now, divide every term by \(-8\):
\[
y = \frac{-4}{-8}x + \frac{24}{-8}
\]
\[
y = \frac{1}{2}x - 3
\]

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

However, this option isn't represented in your provided response. Based on the closest option, the transformation is:
\[
−8y=−4x+24
\]

It's necessary to recognize that it may require one more simplification to convert to the traditional slope-intercept form directly. Therefore, the answer is:

**−8y=−4x+24**