Transform the linear equation 4x−8y=24

to slope-intercept form.(1 point)
Responses

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

4x−8y=24
4 x minus 8 y equals 24

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

y=12x−3

1 answer

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

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

  2. Isolate the term with \(y\) by moving \(4x\) to the right side: \[ -8y = -4x + 24 \]

  3. Divide every term by \(-8\) to solve for \(y\): \[ y = \frac{-4}{-8}x + \frac{24}{-8} \]

  4. Simplify: \[ y = \frac{1}{2}x - 3 \]

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

Among the options provided, none of them were correct, but you can rewrite your final equation if required. Is there anything else you would like to ask?