Question

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

4x−8y=24
4 x minus 8 y equals 24

y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3

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

−8y=−4x+24

Answer 1

To transform the linear equation \(4x - 8y = 24\) to slope-intercept form (which is \(y = mx + b\)), follow these steps:

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

2. Isolate the term involving \(y\) by moving \(4x\) to the other side:
\[
-8y = -4x + 24
\]

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

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

Therefore, the correct response is:
**y equals Start Fraction 1 over 2 End Fraction x minus 3**.