Line slope calculator 2x+6y=66


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[9; 8]

Calculation:

Slope: m = -0.3333

Slope-intercept form of line: y = -0.3333x+11

Canonical form of the line equation: 2x+6y-66 = 0

Parametric form of the line equation:
x = 6t+3
y = -2t+10      ; t ∈ R

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

X intercept: x0 = 33

Y intercept: y0 = q = 11

Distance line from the origin: d0 = 10.4355

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

Vector: AB = (6; -2)

Normal vector: n = (2; 6)

Midpoint of the segment AB: M = [6; 9]

Perpendicular Bisector equation: 6x-2y-18 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 107
Angle ∠ AOB = 31°40'2″ = 0.5527 rad