Slope-Intercept Form Quick Check

Question

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Question
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

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

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

4x−8y=24
4 x minus 8 y equals 24
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Answer 1

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

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

2. Isolate \( y \) on one side of the equation. First, move \( 4x \) to the right side: \[ -8y = -4x + 24 \]

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

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

From your provided responses, the correct transformation is: y = \(\frac{1}{2}\)x - 3.