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Which of the following is an equation of the line in the $x y$-plane that passes through the point $(3,-4)$ and is perpendicular to the line with equation $y=\frac{1}{4} x-7$ ?$\newline$Choose $1$ answer:$\newline$(A) $y=\frac{1}{4} x+8$$\newline$(B) $y=\frac{1}{4} x-8$$\newline$(c) $y=-4 x+8$$\newline$(D) $y=-4 x-8$