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Equation of a Tangent Line

ACTMAT-YVSEAR

In the figure below, the line is tangent to the circle at $(3,-4)$ in the x-y coordinate plane.

If the center of the circle is the origin $(0,0)$, what is the equation of the line?

A

$4x + 3y = 1$

B

$4x – 3y = -1$

C

$3x – 4y = -25$

D

$3x + 4y = 7$

E

$3x – 4y = 25$