# Line slope calculator 6x-7y=-14

**Straight line given by points A[0; 2] and B[7; 8]**

## Calculation:

**Slope-intercept form of line:**y = 0.8571x+2

**Canonical form of the line equation:**6x-7y+14 = 0

**Parametric form of the line equation:**

x = 7t

y = 6t+2 ; t ∈ R

**Slope:**m = 0.8571

**Slope angle of line: φ =**40°36'5″ = 0.7086 rad

**X intercept:**x

_{0}= -2.3333

**Y intercept:**y

_{0}= q = 2

**Distance line from the origin:**d

_{0}= 1.5185

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

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

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

**Midpoint of the segment AB: M =**[3.5; 5]

**Perpendicular Bisector equation:**7x+6y-54.5 = 0

**Vector OA = (0; 2) ; |OA| = 2**

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

**Scalar product OA .OB = 16**

**Angle ∠ AOB = 41°11'9″ = 0.7188 rad**