# Line slope calculator x+7y=36

**Straight line given by points A[1; 5] and B[8; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.1429x+5.1429

**Canonical form of the line equation:**x+7y-36 = 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}= 36

**Y intercept:**y

_{0}= q = 5.1429

**Distance line from the origin:**d

_{0}= 5.0912

**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; 4.5]

**Perpendicular Bisector equation:**7x-y-27 = 0

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

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

**Scalar product OA .OB = 28**

**Angle ∠ AOB = 52°7'30″ = 0.9098 rad**