Respuesta :

Answer:

(x + 5)² + (y - 1)² = 4

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, 1) and r = 2, then

(x - (- 5))² + (y - 1)² = 2² , that is

(x + 5)² + (y - 1)² = 4

Answer:

Step-by-step explanation:

hello  :

hello:

note :   an equatin for the circle is : (x-a)²+(y-b)²=r²

when the center is the point : C(a , b) and the  radius  r

use this graph : given two points in this circle  A(-3,1) and B(-7,1)

1) AB/2 = r = 4/2 = 2

2) the midipoint for the segment AB is the center C

a = (-3-7)/2     and  b = (1+1)/2

a= -5   and b= 1  so : C(-5 , 1)

an equation is :  (x+5)²+(y-1)²=2²