# Line slope calculator 6x-y=-2

**Straight line given by points A[0; 2] and B[1; 8]**

## Calculation:

**Slope-intercept form of line:**y = 6x+2

**Canonical form of the line equation:**6x-y+2 = 0

**Parametric form of the line equation:**

x = t

y = 6t+2 ; t ∈ R

**Slope:**m = 6

**Slope angle of line: φ =**80°32'16″ = 1.4056 rad

**X intercept:**x

_{0}= -0.3333

**Y intercept:**y

_{0}= q = 2

**Distance line from the origin:**d

_{0}= 0.3288

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

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

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

**Midpoint of the segment AB: M =**[0.5; 5]

**Perpendicular Bisector equation:**x+6y-30.5 = 0

**Vector OA = (0; 2) ; |OA| = 2**

**Vector OB = (1; 8) ; |OB| = 8.0623**

**Scalar product OA .OB = 16**

**Angle ∠ AOB = 7°7'30″ = 0.1244 rad**