Centroid
x1+x2+x3/3 , y1+y2+y3/3
Incenter
ax1+bx2+cx3/a+b+c
Orthocenter
m1m2 = -1
Intercept form
x/a + y/b = 1
Symmetric form
x-x1/cosθ = y-y1/sinθ = r
slope =
-a/b
x intercept =
-c/a
y intercept =
-c/b
Angle b/n 2 lines
tanθ = |m2-m1/1+m1m2|
Eqn perp to ax+by+c=0
bx-ay+λ = 0 or |ax1+by1=c/√a^2+b^2|
Ratio in which 2 pts divide a line
-(ax1+by1+c/ax2+by2+c)