Question 696794
please help me.find the equation of acircle that  passes through points (3,5) (6,7) (8,9)?
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Find the equation of the 2 lines from (3,5) to (6,7) and from (6,7) to (8,9)
Find the midpoints of the 2 line segments, then find the eqns of 2 lines thru the midpoints perpendicular to the lines.
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The solution of the 2 equations is the intersection of the 2 lines at the center of the circle.
The radius is the distance from the center to any of the 3 points.
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x^2 + y^2 + 9x - 39y = -134 is the equation
center at (-4.5,19.5)