# Line slope calculator 7x+6y=81

**Straight line given by points A[3; 10] and B[9; 3]**

## Calculation:

**Slope-intercept form of line:**y = -1.1667x+13.5

**Canonical form of the line equation:**7x+6y-81 = 0

**Parametric form of the line equation:**

x = 6t+3

y = -7t+10 ; t ∈ R

**Slope:**m = -1.1667

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

**X intercept:**x

_{0}= 11.5714

**Y intercept:**y

_{0}= q = 13.5

**Distance line from the origin:**d

_{0}= 8.7857

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

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

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

**Midpoint of the segment AB: M =**[6; 6.5]

**Perpendicular Bisector equation:**6x-7y+9.5 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

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

**Scalar product OA .OB = 57**

**Angle ∠ AOB = 54°51'57″ = 0.9576 rad**