# Line slope calculator 7x+6y=76

**Straight line given by points A[4; 8] and B[10; 1]**

## Calculation:

**Slope-intercept form of line:**y = -1.1667x+12.6667

**Canonical form of the line equation:**7x+6y-76 = 0

**Parametric form of the line equation:**

x = 6t+4

y = -7t+8 ; t ∈ R

**Slope:**m = -1.1667

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

**X intercept:**x

_{0}= 10.8571

**Y intercept:**y

_{0}= q = 12.6667

**Distance line from the origin:**d

_{0}= 8.2434

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

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

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

**Midpoint of the segment AB: M =**[7; 4.5]

**Perpendicular Bisector equation:**6x-7y-10.5 = 0

**Vector OA = (4; 8) ; |OA| = 8.9443**

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

**Scalar product OA .OB = 48**

**Angle ∠ AOB = 57°43'28″ = 1.0075 rad**