# Line slope calculator x+6y=25

**Straight line given by points A[1; 4] and B[7; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.1667x+4.1667

**Canonical form of the line equation:**x+6y-25 = 0

**Parametric form of the line equation:**

x = 6t+1

y = -t+4 ; t ∈ R

**Slope:**m = -0.1667

**Slope angle of line: φ =**-9°27'44″ = -0.1651 rad

**X intercept:**x

_{0}= 25

**Y intercept:**y

_{0}= q = 4.1667

**Distance line from the origin:**d

_{0}= 4.11

**The length of the segment AB: |AB| =**6.0828

**Vector: AB =**(6; -1)

**Normal vector: n =**(1; 6)

**Midpoint of the segment AB: M =**[4; 3.5]

**Perpendicular Bisector equation:**6x-y-20.5 = 0

**Vector OA = (1; 4) ; |OA| = 4.1231**

**Vector OB = (7; 3) ; |OB| = 7.6158**

**Scalar product OA .OB = 19**

**Angle ∠ AOB = 52°45'55″ = 0.9209 rad**