Answer:
(x + 5)² + (y - 7)² = 13
Step-by-step 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) = (- 5, 7) and r = [tex]\sqrt{13}[/tex] , thus
(x - (- 5))² + (y - 7)² = ([tex]\sqrt{13}[/tex] )² , that is
(x + 5)² + (y - 7)² = 13 ← equation of circle
