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=0
4 x minus 8 y minus 24 equals 0

4x−8y=24
4 x minus 8 y equals 24

−8y=−4x+24

Answer 1

To transform the linear equation \( 4x - 8y = 24 \) into slope-intercept form (which is \( y = mx + b \)), we’ll need to isolate \( y \).

Here are the steps:

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

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

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

Thus, 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.