Line slope calculator 2x-6y=-32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[8; 8]

Calculation:

Slope: m = 0.3333

Slope-intercept form of line: y = 0.3333x+5.3333

Canonical form of the line equation: 2x-6y+32 = 0

Parametric form of the line equation:
x = 6t+2
y = 2t+6      ; t ∈ R

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

X intercept: x0 = -16

Y intercept: y0 = q = 5.3333

Distance line from the origin: d0 = 5.0596

The length of the segment AB: |AB| = 6.3246

Vector: AB = (6; 2)

Normal vector: n = (2; -6)

Midpoint of the segment AB: M = [5; 7]

Perpendicular Bisector equation: 6x+2y-44 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 64
Angle ∠ AOB = 26°33'54″ = 0.4636 rad