What is the equation of the circle with center (0,0) the passes through the point (5,-5).

x² + y² = 50

The circle centered at (h, k) with radius r has equation ...

... (x -h)² + (y -k)² = r²

You have (h, k) = (0, 0), so all we need to do is find r². We can do that by choosing r² so that the equation is true at the given point.

... x² + y² = (5)² + (-5)² = 25 + 25 = 50

Your equation is x² + y² = 50.

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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