Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form $y=m x+b$. $(5,6) ; 7 x+y=2$ The equation of the line is $y=$ (Simplify your answer. Use integels or fractions for any numbers in the expression.)

Step 1 ：\(7x+y=2\) has slope \(-\frac{7}{1}\), so the line perpendicular to this line has slope \(-\frac{1}{-7/1}\) = \(\frac{7}{1}\).

Step 2 ：Using the point-slope form, the equation of the line is \(y-6=7(x-5)\).

Step 3 ：Expanding the equation, we get \(y-6=7x-35\).

Step 4 ：Adding 6 to both sides, we get \(y=7x-29\).

Step 5 ：\(\boxed{y=7x-29}\)