# Line slope calculator 6x-5y=2

**Straight line given by points A[2; 2] and B[7; 8]**

## Calculation:

**Slope-intercept form of line:**y = 1.2x-0.4

**Canonical form of the line equation:**6x-5y-2 = 0

**Parametric form of the line equation:**

x = 5t+2

y = 6t+2 ; t ∈ R

**Slope:**m = 1.2

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

**X intercept:**x

_{0}= 0.3333

**Y intercept:**y

_{0}= q = -0.4

**Distance line from the origin:**d

_{0}= 0.2561

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

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

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

**Midpoint of the segment AB: M =**[4.5; 5]

**Perpendicular Bisector equation:**5x+6y-52.5 = 0

**Vector OA = (2; 2) ; |OA| = 2.8284**

**Vector OB = (7; 8) ; |OB| = 10.6301**

**Scalar product OA .OB = 30**

**Angle ∠ AOB = 3°48'51″ = 0.0666 rad**