Problem

Find the slope of a line perpendicular to the line whose equation is \( 6 x+2 y=-32 \). Fully simplify your answer.

Answer

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Answer

\( m_{\perp}=\frac{1}{3} \)

Steps

Step 1 ：\( 6x+2y=-32 \)

Step 2 ：\( y=-3x-16 \)

Step 3 ：\( m=-3 \)

Step 4 ：\( m_{\perp}=\frac{1}{3} \)

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