# Line slope calculator 6x-y=8

**Straight line given by points A[2; 4] and B[3; 10]**

## Calculation:

**Slope-intercept form of line:**y = 6x-8

**Canonical form of the line equation:**6x-y-8 = 0

**Parametric form of the line equation:**

x = t+2

y = 6t+4 ; t ∈ R

**Slope:**m = 6

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

**X intercept:**x

_{0}= 1.3333

**Y intercept:**y

_{0}= q = -8

**Distance line from the origin:**d

_{0}= 1.3152

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

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

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

**Midpoint of the segment AB: M =**[2.5; 7]

**Perpendicular Bisector equation:**x+6y-44.5 = 0

**Vector OA = (2; 4) ; |OA| = 4.4721**

**Vector OB = (3; 10) ; |OB| = 10.4403**

**Scalar product OA .OB = 46**

**Angle ∠ AOB = 9°51'57″ = 0.1722 rad**