Line slope calculator x-6y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 0] and B[10; 1]

Calculation:

Slope: m = 0.1667

Slope-intercept form of line: y = 0.1667x-0.6667

Canonical form of the line equation: x-6y-4 = 0

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

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

X intercept: x0 = 4

Y intercept: y0 = q = -0.6667

Distance line from the origin: d0 = 0.6576

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

Vector: AB = (6; 1)

Normal vector: n = (1; -6)

Midpoint of the segment AB: M = [7; 0.5]

Perpendicular Bisector equation: 6x+y-42.5 = 0

Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 40
Angle ∠ AOB = 5°42'38″ = 0.0997 rad