Line slope calculator x-3y=-8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 3] and B[4; 4]

Calculation:

Slope: m = 0.3333

Slope-intercept form of line: y = 0.3333x+2.6667

Canonical form of the line equation: x-3y+8 = 0

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

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

X intercept: x0 = -8

Y intercept: y0 = q = 2.6667

Distance line from the origin: d0 = 2.5298

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; 3.5]

Perpendicular Bisector equation: 3x+y-11 = 0

Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (4; 4) ;   |OB| = 5.6569
Scalar product OA .OB = 16
Angle ∠ AOB = 26°33'54″ = 0.4636 rad