Respuesta:
Explicación paso a paso:
[tex]h = -6\\k = 4\\r = 5\\Solucion.\\(x - h)^{2} + (y - k)^{2} = r^{2} \\(x - .-6)^{2} + (y - 4)^{2} = 5^{2}\\(x + 6)^{2} + (y - 4)^{2} = 5^{2}\\x^{2} + 12x + 36 + y^{2} - 8y + 16 = 25\\x^{2} + y^{2} + 12x - 8y + 52 - 25 = 0\\x^{2} + y^{2} + 12x - 8y + 27 = 0[/tex]