Transform the linear equation 4x−8y=24

Question

to slope-intercept form.(1 point)
Responses

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

y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3

4x−8y=24
4 x minus 8 y equals 24

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

Answer 1

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

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

2. Isolate the term with \( y \) by subtracting \( 4x \) from both sides: \[ -8y = -4x + 24 \]

3. Now divide all terms by \(-8\) to solve for \( y \): \[ y = \frac{1}{2}x - 3 \]

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

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