# Line slope calculator 7x-6y=1

**Straight line given by points A[1; 1] and B[7; 8]**

## Calculation:

**Slope-intercept form of line:**y = 1.1667x-0.1667

**Canonical form of the line equation:**7x-6y-1 = 0

**Parametric form of the line equation:**

x = 6t+1

y = 7t+1 ; t ∈ R

**Slope:**m = 1.1667

**Slope angle of line: φ =**49°23'55″ = 0.8622 rad

**X intercept:**x

_{0}= 0.1429

**Y intercept:**y

_{0}= q = -0.1667

**Distance line from the origin:**d

_{0}= 0.1085

**The length of the segment AB: |AB| =**9.2195

**Vector: AB =**(6; 7)

**Normal vector: n =**(7; -6)

**Midpoint of the segment AB: M =**[4; 4.5]

**Perpendicular Bisector equation:**6x+7y-55.5 = 0

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

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

**Scalar product OA .OB = 15**

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