# Line slope calculator 6x-5y=-2

**Straight line given by points A[3; 4] and B[8; 10]**

## 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+3

y = 6t+4 ; 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 =**[5.5; 7]

**Perpendicular Bisector equation:**5x+6y-69.5 = 0

**Vector OA = (3; 4) ; |OA| = 5**

**Vector OB = (8; 10) ; |OB| = 12.8062**

**Scalar product OA .OB = 64**

**Angle ∠ AOB = 1°47'24″ = 0.0312 rad**