Line slope calculator 2x+6y=54


Enter coordinates of two different points:

Straight line given by points A[3; 8] and B[9; 6]

Calculation:

Slope-intercept form of line: y = -0.3333x+9

Canonical form of the line equation: 2x+6y-54 = 0

Parametric form of the line equation:
x = 6t+3
y = -2t+8      ; t ∈ R

Slope: m = -0.3333

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

X intercept: x0 = 27

Y intercept: y0 = q = 9

Distance line from the origin: d0 = 8.5381

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; 7]

Perpendicular Bisector equation: 6x-2y-22 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 75
Angle ∠ AOB = 35°45'14″ = 0.624 rad