Line slope calculator x-3y=2


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[5; 1]

Calculation:

Slope-intercept form of line: y = 0.3333x-0.6667

Canonical form of the line equation: x-3y-2 = 0

Parametric form of the line equation:
x = 3t+2
y = t      ; t ∈ R

Slope: m = 0.3333

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

X intercept: x0 = 2

Y intercept: y0 = q = -0.6667

Distance line from the origin: d0 = 0.6325

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

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

Midpoint of the segment AB: M = [3.5; 0.5]

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


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 10
Angle ∠ AOB = 11°18'36″ = 0.1974 rad