# Line slope calculator 7x+6y=67

**Straight line given by points A[1; 10] and B[7; 3]**

## Calculation:

**Slope-intercept form of line:**y = -1.1667x+11.1667

**Canonical form of the line equation:**7x+6y-67 = 0

**Parametric form of the line equation:**

x = 6t+1

y = -7t+10 ; t ∈ R

**Slope:**m = -1.1667

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

**X intercept:**x

_{0}= 9.5714

**Y intercept:**y

_{0}= q = 11.1667

**Distance line from the origin:**d

_{0}= 7.2672

**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; 6.5]

**Perpendicular Bisector equation:**6x-7y+21.5 = 0

**Vector OA = (1; 10) ; |OA| = 10.0499**

**Vector OB = (7; 3) ; |OB| = 7.6158**

**Scalar product OA .OB = 37**

**Angle ∠ AOB = 61°5'27″ = 1.0662 rad**