# Find the Equation

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ramelcoletana
Find the Equation

Hello everyone.. I need your help to solve this problem.

A point P(x,y) moves in such a way that its distance from (-2, 3) is 4. Find the equation.

Thanks

Jhun Vert

Based on the description, the path of the point is a circle. Use distance between two points formula.
$(x + 2)^2 + (y - 3)^2 = 4^2$

$(x^2 + 4x + 4) + (y^2 - 6y + 9) = 16$

$x^2 + y^2 + 4x - 6y - 3 = 0$

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