Points F(2,6) and G(14,22) are the endpoints of a diameter of circle M. What is the equation of circle M?

Step-by-step explanation:

The equation of a circle has the following format:

In which r is the radius(half the diameter) and the centre is the point

Radius:

The radius is half the diameter.

The diameter is the distance between the two end points(F and G). So

So

Centre:

Halfway point between f and g. So

What is the equation of circle M?

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

step-by-step explanation: