Lines in 2D Lines in 3D Planes in 3D Graph y = mx + b
m = slope
b = y-intercept[ignore] z = Ax + By + C
A, B are slopes
C = z-interceptParametric L(t) = p0 + tv
p0 = (x0,y0) = point on L
v = <a,b> = direction vector
Coordinate form:
x = x0 + at
y = y0 + btL(t) = p0 + tv
p0 = (x0,y0,z0) = point on L
v = <a,b,c> = direction vector
Coordinate form:
x = x0 + at
y = y0 + bt
z = z0 + ctP(s,t) = p0 + tv1 + sv2
p0 = point on the plane
v1,v2 = non-parallel vectors
lying in the planeImplicit ax + by = c
N = <a,b> = normal vector
c = N.p0 for p0 a point
on the line[ignore] ax + by + cx = c
N = <a,b,c> = normal vector
d = N.p0 for p0 any point
on the plane
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