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So let the equation of line be m

so the slope for line passing through (1,2);(5,6) m₁ = (6-2)/(5 -1) = 4/4 = 1 so we know that when two lines are perpendicular m x m₁ = -1

so m = -1

so using (y - y₁)=m(x - x₁) where y₁ = -4 , x₁ = -5 (y + 4)= -1(x + 4) x + y = -8 ANSWER