To convert the equation \( y + 2 = \frac{1}{3}x \) into standard form, we want to rewrite it in the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) is non-negative.
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First, isolate \( y \) by subtracting 2 from both sides: \[ y = \frac{1}{3}x - 2 \]
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Next, eliminate the fraction by multiplying the entire equation by 3: \[ 3y = x - 6 \]
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Rearranging this equation gives us: \[ -x + 3y = -6 \]
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Finally, we can multiply through by -1 to make the coefficient of \( x \) positive: \[ x - 3y = 6 \]
Thus, in standard form, the equation is: \[ 1x - 3y = 6 \]
So, filling in your blanks: \( 1 + (-3) = 6 \).