# Line slope calculator x-7y=-34

**Straight line given by points A[1; 5] and B[8; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.1429x+4.8571

**Canonical form of the line equation:**x-7y+34 = 0

**Parametric form of the line equation:**

x = 7t+1

y = t+5 ; t ∈ R

**Slope:**m = 0.1429

**Slope angle of line: φ =**8°7'48″ = 0.1419 rad

**X intercept:**x

_{0}= -34

**Y intercept:**y

_{0}= q = 4.8571

**Distance line from the origin:**d

_{0}= 4.8083

**The length of the segment AB: |AB| =**7.0711

**Vector: AB =**(7; 1)

**Normal vector: n =**(1; -7)

**Midpoint of the segment AB: M =**[4.5; 5.5]

**Perpendicular Bisector equation:**7x+y-37 = 0

**Vector OA = (1; 5) ; |OA| = 5.099**

**Vector OB = (8; 6) ; |OB| = 10**

**Scalar product OA .OB = 38**

**Angle ∠ AOB = 41°49'13″ = 0.7299 rad**