Line slope calculator x-3y=5


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 0] and B[8; 1]

Calculation:

Slope: m = 0.3333

Slope-intercept form of line: y = 0.3333x-1.6667

Canonical form of the line equation: x-3y-5 = 0

Parametric form of the line equation:
x = 3t+5
y = t      ; t ∈ R

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

X intercept: x0 = 5

Y intercept: y0 = q = -1.6667

Distance line from the origin: d0 = 1.5811

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

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

Midpoint of the segment AB: M = [6.5; 0.5]

Perpendicular Bisector equation: 3x+y-20 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 40
Angle ∠ AOB = 7°7'30″ = 0.1244 rad