# Line slope calculator 3x-7y=6

**Straight line given by points A[2; 0] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = 0.4286x-0.8571

**Canonical form of the line equation:**3x-7y-6 = 0

**Parametric form of the line equation:**

x = 7t+2

y = 3t ; t ∈ R

**Slope:**m = 0.4286

**Slope angle of line: φ =**23°11'55″ = 0.4049 rad

**X intercept:**x

_{0}= 2

**Y intercept:**y

_{0}= q = -0.8571

**Distance line from the origin:**d

_{0}= 0.7878

**The length of the segment AB: |AB| =**7.6158

**Vector: AB =**(7; 3)

**Normal vector: n =**(3; -7)

**Midpoint of the segment AB: M =**[5.5; 1.5]

**Perpendicular Bisector equation:**7x+3y-43 = 0

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

**Vector OB = (9; 3) ; |OB| = 9.4868**

**Scalar product OA .OB = 18**

**Angle ∠ AOB = 18°26'6″ = 0.3218 rad**