document.write( "Question 555063: what is the equation of a circle with center (-6,4) passing through the points (9,4).?\r
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Algebra.Com's Answer #361634 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
The radius is the distance between the two points given.
\n" ); document.write( "They have the same y coordinate, so the distance is the difference between the x coordinates \"9-%28-6%29=9%2B6=15\"
\n" ); document.write( "A circle is the collection of all the points at a certain distance from the center point.
\n" ); document.write( "Your circle is the collection of all the points at a distance of 15 from the center point (-6, 4).
\n" ); document.write( "The distance squared would be \"15%5E2=225\".
\n" ); document.write( "The square of the distance from a point (x, y) to (-6, 4) is
\n" ); document.write( "\"%28x-%28-6%29%29%5E2%2B%28y-4%29%5E2=%28x%2B6%29%5E2%2B%28y-4%29%5E2\".
\n" ); document.write( "If that point is in the circle of the problem,
\n" ); document.write( "\"%28x%2B6%29%5E2%2B%28y-4%29%5E2=225\".
\n" ); document.write( "That equation is the equation of the circle with center (-6,4) passing through the points (9,4). If a point is in that circle its coordinates will satisfy that equation. If the coordinates of a point satisfy that equation, the point is in the circle.
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