The equation of the circle whose diameter is the line segment joining the points $(-4, 3)$ and $(12, -1)$ is:
- A$x^2 + y^2 + 8x + 2y + 51 = 0$
- B$x^2 + y^2 + 8x - 2y - 51 = 0$
- C$x^2 + y^2 + 8x + 2y - 51 = 0$
- D$x^2 + y^2 - 8x - 2y - 51 = 0$
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