# Line slope calculator x-6y=-4

**Straight line given by points A[2; 1] and B[8; 2]**

## Calculation:

**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+2

y = t+1 ; t ∈ R

**Slope:**m = 0.1667

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

**X intercept:**x

_{0}= -4

**Y intercept:**y

_{0}= q = 0.6667

**Distance line from the origin:**d

_{0}= 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 = (2; 1) ; |OA| = 2.2361**

**Vector OB = (8; 2) ; |OB| = 8.2462**

**Scalar product OA .OB = 18**

**Angle ∠ AOB = 12°31'44″ = 0.2187 rad**