# Line slope calculator 6x+7y=70

**Straight line given by points A[0; 10] and B[7; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.8571x+10

**Canonical form of the line equation:**6x+7y-70 = 0

**Parametric form of the line equation:**

x = 7t

y = -6t+10 ; t ∈ R

**Slope:**m = -0.8571

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

**X intercept:**x

_{0}= 11.6667

**Y intercept:**y

_{0}= q = 10

**Distance line from the origin:**d

_{0}= 7.5926

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

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

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

**Midpoint of the segment AB: M =**[3.5; 7]

**Perpendicular Bisector equation:**7x-6y+17.5 = 0

**Vector OA = (0; 10) ; |OA| = 10**

**Vector OB = (7; 4) ; |OB| = 8.0623**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 60°15'18″ = 1.0517 rad**