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Transform the linear equation 4x−8y=24

to slope-intercept form.(1 point)
Responses

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

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

4x−8y=24
4 x minus 8 y equals 24

y=12x−3

1 answer

To convert the equation \( 4x - 8y = 24 \) to slope-intercept form, we need to solve for \( y \).

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

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

  3. Now, divide every term by \(-8\): \[ y = \frac{-4}{-8}x + \frac{24}{-8} \] \[ y = \frac{1}{2}x - 3 \]

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

However, this option isn't represented in your provided response. Based on the closest option, the transformation is: \[ −8y=−4x+24 \]

It's necessary to recognize that it may require one more simplification to convert to the traditional slope-intercept form directly. Therefore, the answer is:

−8y=−4x+24