Line slope calculator x+6y=20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 3] and B[8; 2]

Calculation:

Slope: m = -0.1667

Slope-intercept form of line: y = -0.1667x+3.3333

Canonical form of the line equation: x+6y-20 = 0

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

Slope angle of line: φ = -9°27'44″ = -0.1651 rad

X intercept: x0 = 20

Y intercept: y0 = q = 3.3333

Distance line from the origin: d0 = 3.288

The length of the segment AB: |AB| = 6.0828

Vector: AB = (6; -1)

Normal vector: n = (1; 6)

Midpoint of the segment AB: M = [5; 2.5]

Perpendicular Bisector equation: 6x-y-27.5 = 0

Vector OA = (2; 3) ;   |OA| = 3.6056
Vector OB = (8; 2) ;   |OB| = 8.2462
Scalar product OA .OB = 22
Angle ∠ AOB = 42°16'25″ = 0.7378 rad