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distance formula= (the square root of) (x1-x2)^2+(y1-y2)^2 mid-point formula= [(x1+x2)/2], [(y1+y2)/2] center of a circle= (x-h)+(y-k)= (the square root of r) what to do with three points

(1,2),(1,1)(0,0)

formula: 0=x^2+y^2+Dx+Ex+F

0=1^2+2^2+D(1)+E(2)+F=0

0=1^2+1^2+D(1)+E(1)+F

0=0^2+0^2+D(0)+E(0)+F

-5=D+2E+F

-2=D+E+F

0=F

(-2=D+E) x-2

-5=D+2E

(4=-2D+-2E)

+(-5=D+2E)

=(-1=3D)

=(-1/3=D)

-5=(1/3)+2E

-15=2E

-7.5=E

x^2+y^2+(-1/3)x+(-7.5)y+F=0

x^2+y^2-(1/3)x-7.5y=0

Complete The Square:

[x^2-(1/3)+(1/36)]+[y^2-7.5y+(225/16)]=2029/144

formula of a circle

(x-h)^2+(y-k)^2=(the square root of) R

what to do with three points

(1,2),(1,1)(0,0)formula: 0=x^2+y^2+Dx+Ex+F0=1^2+2^2+D(1)+E(2)+F=0

0=1^2+1^2+D(1)+E(1)+F

0=0^2+0^2+D(0)+E(0)+F

-5=D+2E+F

-2=D+E+F

0=F

(-2=D+E) x-2

-5=D+2E

(4=-2D+-2E)+(-5=D+2E)=(-1=3D)=(-1/3=D)

-5=(1/3)+2E

-15=2E-7.5=E

x^2+y^2+(-1/3)x+(-7.5)y+F=0

x^2+y^2-(1/3)x-7.5y=0

Complete The Square:

[x^2-(1/3)+(1/36)]+[y^2-7.5y+(225/16)]=2029/144

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