# Line slope calculator 6x-7y=-10

**Straight line given by points A[3; 4] and B[10; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.8571x+1.4286

**Canonical form of the line equation:**6x-7y+10 = 0

**Parametric form of the line equation:**

x = 7t+3

y = 6t+4 ; t ∈ R

**Slope:**m = 0.8571

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

**X intercept:**x

_{0}= -1.6667

**Y intercept:**y

_{0}= q = 1.4286

**Distance line from the origin:**d

_{0}= 1.0847

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

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

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

**Midpoint of the segment AB: M =**[6.5; 7]

**Perpendicular Bisector equation:**7x+6y-87.5 = 0

**Vector OA = (3; 4) ; |OA| = 5**

**Vector OB = (10; 10) ; |OB| = 14.1421**

**Scalar product OA .OB = 70**

**Angle ∠ AOB = 8°7'48″ = 0.1419 rad**