Find the equation of circle which pass through points (-3,-1) ; (-1,-4)

There are an infinite number of correct responses to your question. We can't specify a single answer unless we have more information.

However, if we assume that the two points you mention are on exact opposite ends of the circle, the midpoint would be at (-2,-2.5) and the radius would be the square root of 3.25. The equation for this circle would be (x + 2)^2 + (y + 2.5)^2 = 3.25

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