Question

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

Answer 1

To transform the equation \( -8y = 24 \) into slope-intercept form (\( y = mx + b \)), we first need to isolate \( y \).

Starting with:
\[
-8y = 24
\]

Divide both sides by -8:
\[
y = -\frac{24}{8}
\]

This simplifies to:
\[
y = -3
\]

Now we have the equation in the form \( y = mx + b \), where \( m = 0 \) and \( b = -3 \).

However, we need to relate this back to the original equation \( -8y = 24 \) given in the problem.

Now, we need to find the slope-intercept form from the original equation \( 4 - 8y = 24 \):

1. Rearranging it gives:

\[
-8y = 24 - 4
\]
\[
-8y = 20
\]

2. Dividing by -8:
\[
y = -\frac{20}{8}x + \frac{4}{8}
\]

This simplifies to:
\[
y = -\frac{5}{2}x + 2
\]

Therefore, the equivalent equation closest to the slope-intercept form is:

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

So the correct answer from your options should be verified if it properly reflects \( y = mx + b \).

In conclusion, none of the options presented completely match the exact final result from \( -8y = 20 \) but \( d \) presents the correct form existing of slope-intercept directionally.

Please consider that verifying \( -8y = 24 \) would lead back to \( y = 3 \) respectively.

However, among the provided options considered:
### Final selection taking into account:
D. \( y = \frac{1}{2}x - 3\) through facilitation but evaluate option b reflects on vicinity correctness.