Answer:
(x + 6)² + (y - 2)² = 49
Explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 6, 2 ) and r = 7 , then
(x - (- 6) )² + (y - 2)² = 7² , that is
(x + 6)² + (y - 2)² = 49