# Line slope calculator 2x-6y=-40

**Straight line given by points A[4; 8] and B[10; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.3333x+6.6667

**Canonical form of the line equation:**2x-6y+40 = 0

**Parametric form of the line equation:**

x = 6t+4

y = 2t+8 ; t ∈ R

**Slope:**m = 0.3333

**Slope angle of line: φ =**18°26'6″ = 0.3218 rad

**X intercept:**x

_{0}= -20

**Y intercept:**y

_{0}= q = 6.6667

**Distance line from the origin:**d

_{0}= 6.3246

**The length of the segment AB: |AB| =**6.3246

**Vector: AB =**(6; 2)

**Normal vector: n =**(2; -6)

**Midpoint of the segment AB: M =**[7; 9]

**Perpendicular Bisector equation:**6x+2y-60 = 0

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

**Vector OB = (10; 10) ; |OB| = 14.1421**

**Scalar product OA .OB = 120**

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