Question
Rewrite the following equation in slope-intercept form. \( 17 x-12 y=-1 \) Write your answer using integers, proper fractions, and improper fractions in simplest form.
Ask by Blake Sandoval. in Guam
Mar 19,2025
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Answer
\( y = \frac{17}{12}x + \frac{1}{12} \)
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Beyond the Answer
To rewrite the equation \( 17x - 12y = -1 \) in slope-intercept form (which is \( y = mx + b \)), we need to solve for \( y \). 1. Start by isolating \( -12y \): \[ -12y = -17x - 1 \] 2. Now, divide every term by -12 to solve for \( y \): \[ y = \frac{17}{12}x + \frac{1}{12} \] So, the equation in slope-intercept form is: \[ y = \frac{17}{12}x + \frac{1}{12} \]