Enter the correct answer that completes the sentence below.
Any line perpendicular to the graph of $6 x+7 y=6$ must have slope

Any line perpendicular to the graph of $6 x+7 y=6$ must have slope $\square$.
(Type an integer or a simplified fraction.)

Answer

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Answer

Final Answer: The slope of any line perpendicular to the graph of $6 x+7 y=6$ is $\boxed{\frac{7}{6}}$.

Steps

Step 1 ：The slope of a line in the form of $ax + by = c$ is $-\frac{a}{b}$.

Step 2 ：So, the slope of the given line $6x + 7y = 6$ is $-\frac{6}{7}$.

Step 3 ：The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.

Step 4 ：So, the slope of the line perpendicular to the given line is $-\frac{1}{-\frac{6}{7}}$.

Step 5 ：Final Answer: The slope of any line perpendicular to the graph of $6 x+7 y=6$ is $\boxed{\frac{7}{6}}$.