Gets brainliest but need answer ! .

(x + 1)² + (y - 1)² = 74

Step-by-step explanation:

See the attached figure.

The center of the circle is at (-1,1) and the radius is the distance between the points (-1,1) and (6,-4) {Since, (-1,1) is the center and (6,-4) is on the circle.

Now, radius, r =

Therefore, the equation of the circle is  

(x + 1)² + (y - 1)² = (√74)²

⇒ (x + 1)² + (y - 1)² = 74 (Answer)

We know the distance between two given points and is given by  

.

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step-by-step explanation: