Line slope calculator -x+6y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 2] and B[2; 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+8
y = -t+2      ; 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 = [5; 1.5]

Perpendicular Bisector equation: -6x-y+31.5 = 0

Vector OA = (8; 2) ;   |OA| = 8.2462
Vector OB = (2; 1) ;   |OB| = 2.2361
Scalar product OA .OB = 18
Angle ∠ AOB = 12°31'44″ = 0.2187 rad