# Line slope calculator 6x-7y=12

**Straight line given by points A[2; 0] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.8571x-1.7143

**Canonical form of the line equation:**6x-7y-12 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 6t ; t ∈ R

**Slope:**m = 0.8571

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

**X intercept:**x

_{0}= 2

**Y intercept:**y

_{0}= q = -1.7143

**Distance line from the origin:**d

_{0}= 1.3016

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

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

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

**Midpoint of the segment AB: M =**[5.5; 3]

**Perpendicular Bisector equation:**7x+6y-56.5 = 0

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

**Vector OB = (9; 6) ; |OB| = 10.8167**

**Scalar product OA .OB = 18**

**Angle ∠ AOB = 33°41'24″ = 0.588 rad**