# Line slope calculator x-6y=-21

**Straight line given by points A[3; 4] and B[9; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.1667x+3.5

**Canonical form of the line equation:**x-6y+21 = 0

**Parametric form of the line equation:**

x = 6t+3

y = t+4 ; t ∈ R

**Slope:**m = 0.1667

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

**X intercept:**x

_{0}= -21

**Y intercept:**y

_{0}= q = 3.5

**Distance line from the origin:**d

_{0}= 3.4524

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

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

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

**Midpoint of the segment AB: M =**[6; 4.5]

**Perpendicular Bisector equation:**6x+y-40.5 = 0

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

**Vector OB = (9; 5) ; |OB| = 10.2956**

**Scalar product OA .OB = 47**

**Angle ∠ AOB = 24°4'32″ = 0.4202 rad**