Hi there!
The standard form of the equation of a circle is:
[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
With (a, b) representing the centre and r representing the radius of the circle.
Since the centre of the circle is (5, -3) and the radius is 1, we get the following equation:
[tex](x - 5) {}^{2} + {(y + 3)}^{2} = 1[/tex]
