Crawford Tyler
12/08/2023 · High School
Question Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 2 x-12 y=12 \] Answer Athenpt 1 out of 2
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Step-by-step Solution
To convert the equation \( 2x - 12y = 12 \) into slope-intercept form, which is \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), we need to solve for \( y \).
Starting with the original equation:
\[
2x - 12y = 12
\]
1. Subtract \( 2x \) from both sides:
\[
-12y = -2x + 12
\]
2. Now, divide every term by \(-12\) to isolate \( y \):
\[
y = \frac{-2x}{-12} + \frac{12}{-12}
\]
3. Simplifying the fractions:
\[
y = \frac{1}{6}x - 1
\]
Thus, the equation in slope-intercept form is:
\[
y = \frac{1}{6}x - 1
\]
Quick Answer
The equation in slope-intercept form is \( y = \frac{1}{6}x - 1 \).
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