# Line slope calculator x-6y=-30

**Straight line given by points A[0; 5] and B[6; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.1667x+5

**Canonical form of the line equation:**x-6y+30 = 0

**Parametric form of the line equation:**

x = 6t

y = t+5 ; t ∈ R

**Slope:**m = 0.1667

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

**X intercept:**x

_{0}= -30

**Y intercept:**y

_{0}= q = 5

**Distance line from the origin:**d

_{0}= 4.932

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

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

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

**Midpoint of the segment AB: M =**[3; 5.5]

**Perpendicular Bisector equation:**6x+y-23.5 = 0

**Vector OA = (0; 5) ; |OA| = 5**

**Vector OB = (6; 6) ; |OB| = 8.4853**

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 45° = 0.7854 rad**