Question

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

y = 1/2x
- 3
y = 1 half x - 3

4x - 8y - 24 = 0
4x - 8y - 24 = 0

4x - 8y = 24
4x - 8y = 24

-8y = -4y + 24

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. **Isolate the term involving \( y \)**:
\[
-8y = -4x + 24
\]

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

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

This matches the option:
- y = 1/2x - 3
- y = 1 half x - 3

Both are equivalent.