Line slope calculator x-3y=6


Enter coordinates of two different points:

Straight line given by points A[6; 0] and B[9; 1]

Calculation:

Slope-intercept form of line: y = 0.3333x-2

Canonical form of the line equation: x-3y-6 = 0

Parametric form of the line equation:
x = 3t+6
y = t      ; t ∈ R

Slope: m = 0.3333

Slope angle of line: φ = 18°26'6″ = 0.3218 rad

X intercept: x0 = 6

Y intercept: y0 = q = -2

Distance line from the origin: d0 = 1.8974

The length of the segment AB: |AB| = 3.1623

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

Midpoint of the segment AB: M = [7.5; 0.5]

Perpendicular Bisector equation: 3x+y-23 = 0


Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (9; 1) ;   |OB| = 9.0554
Scalar product OA .OB = 54
Angle ∠ AOB = 6°20'25″ = 0.1107 rad