# Line slope calculator 5x-6y=4

**Straight line given by points A[2; 1] and B[8; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.8333x-0.6667

**Canonical form of the line equation:**5x-6y-4 = 0

**Parametric form of the line equation:**

x = 6t+2

y = 5t+1 ; t ∈ R

**Slope:**m = 0.8333

**Slope angle of line: φ =**39°48'20″ = 0.6947 rad

**X intercept:**x

_{0}= 0.8

**Y intercept:**y

_{0}= q = -0.6667

**Distance line from the origin:**d

_{0}= 0.5121

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

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

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

**Midpoint of the segment AB: M =**[5; 3.5]

**Perpendicular Bisector equation:**6x+5y-47.5 = 0

**Vector OA = (2; 1) ; |OA| = 2.2361**

**Vector OB = (8; 6) ; |OB| = 10**

**Scalar product OA .OB = 22**

**Angle ∠ AOB = 10°18'17″ = 0.1799 rad**