# Line slope calculator 6x-5y=8

**Straight line given by points A[3; 2] and B[8; 8]**

## Calculation:

**Slope-intercept form of line:**y = 1.2x-1.6

**Canonical form of the line equation:**6x-5y-8 = 0

**Parametric form of the line equation:**

x = 5t+3

y = 6t+2 ; t ∈ R

**Slope:**m = 1.2

**Slope angle of line: φ =**50°11'40″ = 0.8761 rad

**X intercept:**x

_{0}= 1.3333

**Y intercept:**y

_{0}= q = -1.6

**Distance line from the origin:**d

_{0}= 1.0243

**The length of the segment AB: |AB| =**7.8102

**Vector: AB =**(5; 6)

**Normal vector: n =**(6; -5)

**Midpoint of the segment AB: M =**[5.5; 5]

**Perpendicular Bisector equation:**5x+6y-57.5 = 0

**Vector OA = (3; 2) ; |OA| = 3.6056**

**Vector OB = (8; 8) ; |OB| = 11.3137**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 11°18'36″ = 0.1974 rad**