# Line slope calculator x+8y=41

**Straight line given by points A[1; 5] and B[9; 4]**

## Calculation:

**Slope-intercept form of line:**y = -0.125x+5.125

**Canonical form of the line equation:**x+8y-41 = 0

**Parametric form of the line equation:**

x = 8t+1

y = -t+5 ; t ∈ R

**Slope:**m = -0.125

**Slope angle of line: φ =**-7°7'30″ = -0.1244 rad

**X intercept:**x

_{0}= 41

**Y intercept:**y

_{0}= q = 5.125

**Distance line from the origin:**d

_{0}= 5.0854

**The length of the segment AB: |AB| =**8.0623

**Vector: AB =**(8; -1)

**Normal vector: n =**(1; 8)

**Midpoint of the segment AB: M =**[5; 4.5]

**Perpendicular Bisector equation:**8x-y-35.5 = 0

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

**Vector OB = (9; 4) ; |OB| = 9.8489**

**Scalar product OA .OB = 29**

**Angle ∠ AOB = 54°43'39″ = 0.9552 rad**