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

Question

Responses

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

4x−8y=24
4 x minus 8 y equals 24

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

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

Answer 1

To transform the equation \(4x - 8y = 24\) into slope-intercept form \(y = mx + b\), we can follow these steps:

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

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

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

So, the equation in slope-intercept form is:

\[ y = \frac{1}{2}x - 3 \]

The correct response is: y equals Start Fraction 1 over 2 End Fraction x minus 3.