# Line slope calculator x-6y=-27

**Straight line given by points A[3; 5] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.1667x+4.5

**Canonical form of the line equation:**x-6y+27 = 0

**Parametric form of the line equation:**

x = 6t+3

y = t+5 ; t ∈ R

**Slope:**m = 0.1667

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

**X intercept:**x

_{0}= -27

**Y intercept:**y

_{0}= q = 4.5

**Distance line from the origin:**d

_{0}= 4.4388

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

**Vector: AB =**(6; 1)

**Normal vector: n =**(1; -6)

**Midpoint of the segment AB: M =**[6; 5.5]

**Perpendicular Bisector equation:**6x+y-41.5 = 0

**Vector OA = (3; 5) ; |OA| = 5.831**

**Vector OB = (9; 6) ; |OB| = 10.8167**

**Scalar product OA .OB = 57**

**Angle ∠ AOB = 25°20'46″ = 0.4424 rad**