Transform the linear equation 4x−8y=24

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

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

2. Solve for \( y \):

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

   • Divide all terms by \( -8 \): \[ y = \frac{1}{2}x - 3 \]

Now we have the equation in slope-intercept form:

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

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