Line slope calculator x-3y=3


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[6; 1]

Calculation:

Slope-intercept form of line: y = 0.3333x-1

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

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

Slope: m = 0.3333

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

X intercept: x0 = 3

Y intercept: y0 = q = -1

Distance line from the origin: d0 = 0.9487

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

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

Midpoint of the segment AB: M = [4.5; 0.5]

Perpendicular Bisector equation: 3x+y-14 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (6; 1) ;   |OB| = 6.0828
Scalar product OA .OB = 18
Angle ∠ AOB = 9°27'44″ = 0.1651 rad