Lines in 2D Lines in 3D Planes in 3D Graph y = mx + b
m = slope
b = yintercept[ignore] z = Ax + By + C
A, B are slopes
C = zinterceptParametric L(t) = p_{0} + tv
p_{0} = (x_{0},y_{0}) = point on L
v = <a,b> = direction vector
Coordinate form:
x = x_{0} + at
y = y_{0} + btL(t) = p_{0} + tv
p_{0} = (x_{0},y_{0},z_{0}) = point on L
v = <a,b,c> = direction vector
Coordinate form:
x = x_{0} + at
y = y_{0} + bt
z = z_{0} + ctP(s,t) = p_{0} + tv_{1} + sv_{2}
p_{0} = point on the plane
v_{1},v_{2} = nonparallel vectors
lying in the planeImplicit ax + by = c
N = <a,b> = normal vector
c = N^{.}p_{0} for p_{0} a point
on the line[ignore] ax + by + cx = c
N = <a,b,c> = normal vector
d = N^{.}p_{0} for p_{0} any point
on the plane

