# Line slope calculator x-6y=4

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

## 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+4

y = t ; 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 =**[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**