The center of a circle is located at (--2,7). The radius of the circle is 2.
What is the equation of the circle in general form?
We have
(x + 2)^2 + ( y - 7)^2 = 4 expand
x^2 + 4x + 4 + y^2 - 14y + 49 = 4 subtract 4 from both sides
x^2 + y^2 + 4x - 14y + 49 = 0