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put the following equation of a line into slope - intercept form, simplifying all fractions.
3y - 3x = -27
Step1: Add 3x to both sides
To isolate the term with \( y \), we add \( 3x \) to both sides of the equation \( 3y - 3x = -27 \). This gives us \( 3y = 3x - 27 \).
Step2: Divide by 3
Now, we divide every term in the equation \( 3y = 3x - 27 \) by 3 to solve for \( y \). So, \( \frac{3y}{3} = \frac{3x}{3} - \frac{27}{3} \), which simplifies to \( y = x - 9 \).
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\( y = x - 9 \)