Line slope calculator 2x-6y=-40


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 8] and B[10; 10]

Calculation:

Slope: m = 0.3333

Slope-intercept form of line: y = 0.3333x+6.6667

Canonical form of the line equation: 2x-6y+40 = 0

Parametric form of the line equation:
x = 6t+4
y = 2t+8      ; t ∈ R

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

X intercept: x0 = -20

Y intercept: y0 = q = 6.6667

Distance line from the origin: d0 = 6.3246

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

Vector: AB = (6; 2)

Normal vector: n = (2; -6)

Midpoint of the segment AB: M = [7; 9]

Perpendicular Bisector equation: 6x+2y-60 = 0

Vector OA = (4; 8) ;   |OA| = 8.9443
Vector OB = (10; 10) ;   |OB| = 14.1421
Scalar product OA .OB = 120
Angle ∠ AOB = 18°26'6″ = 0.3218 rad