SOLUTION: what is the equation of a circle with center (-6,4) passing through the points (9,4).? Hope to hear from you soon. Thank you and Godbless! I promise to pay your kindness in

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Question 555063: what is the equation of a circle with center (-6,4) passing through the points (9,4).?
Hope to hear from you soon.
Thank you and Godbless!
I promise to pay your kindness in any way that i can.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The radius is the distance between the two points given.
They have the same y coordinate, so the distance is the difference between the x coordinates 9-%28-6%29=9%2B6=15
A circle is the collection of all the points at a certain distance from the center point.
Your circle is the collection of all the points at a distance of 15 from the center point (-6, 4).
The distance squared would be 15%5E2=225.
The square of the distance from a point (x, y) to (-6, 4) is
%28x-%28-6%29%29%5E2%2B%28y-4%29%5E2=%28x%2B6%29%5E2%2B%28y-4%29%5E2.
If that point is in the circle of the problem,
%28x%2B6%29%5E2%2B%28y-4%29%5E2=225.
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.