Given three noncollinear points, there is one and only one circle that passes through them Knowing that the equation of a circle may be written in the form x 2 y 2 ax by c 0, find an equation of the circle passing through the given points Connecting Graphs with Equations y ( 1, 5) (4, 3) ( 1,2)...

Because x y axbyc 0 and the circle passes through points 4 3 ...

Given three noncollinear points, there is one and only one circle that passes through them. Knowing that

Question:

Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x² + y² + ax + by + c = 0, find an equation of the circle passing through the given points.

Connecting Graphs with Equations

y (-1, 5) (4, 3) х (-1,–2)