Question
Slope-Intercept Form Quick Check
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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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Answers
GPT-4o mini
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**.
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**.