I need help pleaseee!!

(x - [-1])² + (y - [-1])² = [13]

Step-by-step explanation:

If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)

Midpoint of a segment having extreme ends and

Coordinates of the center =

Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)

Center of the circle =

                                = (-1, -1)

Radius of the circle = Distance between the center and Q,

Since distance between the two points and is,

d =

Radius of the circle =

                                =

                                =

Equation of the circle will be,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and 'r' is the radius of the circle,

(x - [-1])² + (y - [-1])² = [13]

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