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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 days ago

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.