# Line slope calculator 5x-6y=-1

**Straight line given by points A[1; 1] and B[7; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.8333x+0.1667

**Canonical form of the line equation:**5x-6y+1 = 0

**Parametric form of the line equation:**

x = 6t+1

y = 5t+1 ; t ∈ R

**Slope:**m = 0.8333

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

**X intercept:**x

_{0}= -0.2

**Y intercept:**y

_{0}= q = 0.1667

**Distance line from the origin:**d

_{0}= 0.128

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

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

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

**Midpoint of the segment AB: M =**[4; 3.5]

**Perpendicular Bisector equation:**6x+5y-41.5 = 0

**Vector OA = (1; 1) ; |OA| = 1.4142**

**Vector OB = (7; 6) ; |OB| = 9.2195**

**Scalar product OA .OB = 13**

**Angle ∠ AOB = 4°23'55″ = 0.0768 rad**