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Slope of line that is perpendicular to the line y = 2x - 6,
[tex]m=-\dfrac{1}{2}[/tex]
Line passes through (1,5).
Equation of line will be,
[tex]y-5=m(x-1)\\y-5=-1/2{x-1}\\2y-10=-x+1\\2y=11-x[/tex]