Line slope calculator x-3y=1


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 0] and B[4; 1]

Calculation:

Slope: m = 0.3333

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

Canonical form of the line equation: x-3y-1 = 0

Parametric form of the line equation:
x = 3t+1
y = t      ; t ∈ R

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

X intercept: x0 = 1

Y intercept: y0 = q = -0.3333

Distance line from the origin: d0 = 0.3162

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

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

Midpoint of the segment AB: M = [2.5; 0.5]

Perpendicular Bisector equation: 3x+y-8 = 0

Vector OA = (1; 0) ;   |OA| = 1
Vector OB = (4; 1) ;   |OB| = 4.1231
Scalar product OA .OB = 4
Angle ∠ AOB = 14°2'10″ = 0.245 rad