The standard form of the equation of a circle is:
[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
Where the point (a,b) represents the centre and r is the radius. So, given your information, the equation will be:
[tex] {(x + 4)}^{2} + {(y + 3)}^{2} = 25[/tex]
