# Line slope calculator 6x-y=20

**Straight line given by points A[4; 4] and B[5; 10]**

## Calculation:

**Slope-intercept form of line:**y = 6x-20

**Canonical form of the line equation:**6x-y-20 = 0

**Parametric form of the line equation:**

x = t+4

y = 6t+4 ; t ∈ R

**Slope:**m = 6

**Slope angle of line: φ =**80°32'16″ = 1.4056 rad

**X intercept:**x

_{0}= 3.3333

**Y intercept:**y

_{0}= q = -20

**Distance line from the origin:**d

_{0}= 3.288

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

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

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

**Midpoint of the segment AB: M =**[4.5; 7]

**Perpendicular Bisector equation:**x+6y-46.5 = 0

**Vector OA = (4; 4) ; |OA| = 5.6569**

**Vector OB = (5; 10) ; |OB| = 11.1803**

**Scalar product OA .OB = 60**

**Angle ∠ AOB = 18°26'6″ = 0.3218 rad**