# Line slope calculator x-6y=-20

**Straight line given by points A[4; 4] and B[10; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.1667x+3.3333

**Canonical form of the line equation:**x-6y+20 = 0

**Parametric form of the line equation:**

x = 6t+4

y = t+4 ; t ∈ R

**Slope:**m = 0.1667

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

**X intercept:**x

_{0}= -20

**Y intercept:**y

_{0}= q = 3.3333

**Distance line from the origin:**d

_{0}= 3.288

**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; 4.5]

**Perpendicular Bisector equation:**6x+y-46.5 = 0

**Vector OA = (4; 4) ; |OA| = 5.6569**

**Vector OB = (10; 5) ; |OB| = 11.1803**

**Scalar product OA .OB = 60**

**Angle ∠ AOB = 18°26'6″ = 0.3218 rad**