# Line slope calculator 5x-6y=2

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

## Calculation:

**Slope-intercept form of line:**y = 0.8333x-0.3333

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

**Parametric form of the line equation:**

x = 6t+4

y = 5t+3 ; t ∈ R

**Slope:**m = 0.8333

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

**X intercept:**x

_{0}= 0.4

**Y intercept:**y

_{0}= q = -0.3333

**Distance line from the origin:**d

_{0}= 0.2561

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

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

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

**Midpoint of the segment AB: M =**[7; 5.5]

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

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

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

**Scalar product OA .OB = 64**

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