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

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

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

−8y=−4x+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. 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 slope-intercept form of the equation is:
\[
y = \frac{1}{2}x - 3
\]

The correct transformation in your responses is:
\( y = \frac{1}{2}x - 3 \)