Line slope calculator x-3y=-3


Enter coordinates of two different points:

Straight line given by points A[0; 1] and B[3; 2]

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
y = t+1      ; 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 = [1.5; 1.5]

Perpendicular Bisector equation: 3x+y-6 = 0


Vector OA = (0; 1) ;   |OA| = 1
Vector OB = (3; 2) ;   |OB| = 3.6056
Scalar product OA .OB = 2
Angle ∠ AOB = 56°18'36″ = 0.9828 rad